To find the weight of aluminum for 15 castings.

Question

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Answer 1

Question

Chapter 13, Problem 61A

To determine

To find the weight of aluminum for 15 castings.

Expert Solution & Answer

Answer to Problem 61A

5265 pound.

Given information:

A casting is given with dimensions in millimeter as below.

Mathematics for Machine Technology, Chapter 13, Problem 61A , additional homework tip 1

Calculation:

Here we observe that the casting is made by putting a smaller cube on top of a larger cube. So, volume of casting will be equal to summation of volume of both cube.

As we know that volume of a cube is given by -

V=s3

Here, side length of the smaller cube is 8.2 inch. i.e. s=8.2 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (8.2) 3 cubic inch {Put s=8.2 inch}⇒V=551.368 cubic inch⇒V=551.37 cubic inch {Rounding off to two decimal place}

Similarly, side length of the larger cube is 14.5 inch. i.e. s=14.5 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (14.5) 3 cubic inch {Put s=14.5 inch}⇒V=3048.625 cubic inch⇒V=3048.62 cubic inch {Rounding off to two decimal place}

Total volume of casting =551.37+3048.62 cubic inch=3600 cubic inch

Now, weight of aluminum is 0.0975 pound per cubic inch.

So, weight of aluminum for 3600 cubic inch =

0.0975×3600=351 pound.

This is the weight of aluminum for one casting.

Therefore, weight of aluminum for 15 castings =351×15=5265 pound.

Explanation of Solution

Given information:

A casting is given with dimensions in millimeter as below.

Mathematics for Machine Technology, Chapter 13, Problem 61A , additional homework tip 2

Calculation:

Here we observe that the casting is made by putting a smaller cube on top of a larger cube. So, volume of casting will be equal to summation of volume of both cube.

As we know that volume of a cube is given by -

V=s3

Here, side length of the smaller cube is 8.2 inch. i.e. s=8.2 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (8.2) 3 cubic inch {Put s=8.2 inch}⇒V=551.368 cubic inch⇒V=551.37 cubic inch {Rounding off to two decimal place}

Similarly, side length of the larger cube is 14.5 inch. i.e. s=14.5 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (14.5) 3 cubic inch {Put s=14.5 inch}⇒V=3048.625 cubic inch⇒V=3048.62 cubic inch {Rounding off to two decimal place}

Total volume of casting =551.37+3048.62 cubic inch=3600 cubic inch

Now, weight of aluminum is 0.0975 pound per cubic inch.

So, weight of aluminum for 3600 cubic inch =

0.0975×3600=351 pound.

This is the weight of aluminum for one casting.

Therefore, weight of aluminum for 15 castings =351×15=5265 pound.

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Answer 2

Question

Chapter 13, Problem 61A

To determine

To find the weight of aluminum for 15 castings.

Expert Solution & Answer

Answer to Problem 61A

5265 pound.

Given information:

A casting is given with dimensions in millimeter as below.

Mathematics for Machine Technology, Chapter 13, Problem 61A , additional homework tip 1

Calculation:

Here we observe that the casting is made by putting a smaller cube on top of a larger cube. So, volume of casting will be equal to summation of volume of both cube.

As we know that volume of a cube is given by -

V=s3

Here, side length of the smaller cube is 8.2 inch. i.e. s=8.2 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (8.2) 3 cubic inch {Put s=8.2 inch}⇒V=551.368 cubic inch⇒V=551.37 cubic inch {Rounding off to two decimal place}

Similarly, side length of the larger cube is 14.5 inch. i.e. s=14.5 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (14.5) 3 cubic inch {Put s=14.5 inch}⇒V=3048.625 cubic inch⇒V=3048.62 cubic inch {Rounding off to two decimal place}

Total volume of casting =551.37+3048.62 cubic inch=3600 cubic inch

Now, weight of aluminum is 0.0975 pound per cubic inch.

So, weight of aluminum for 3600 cubic inch =

0.0975×3600=351 pound.

This is the weight of aluminum for one casting.

Therefore, weight of aluminum for 15 castings =351×15=5265 pound.

Explanation of Solution

Given information:

A casting is given with dimensions in millimeter as below.

Mathematics for Machine Technology, Chapter 13, Problem 61A , additional homework tip 2

Calculation:

Here we observe that the casting is made by putting a smaller cube on top of a larger cube. So, volume of casting will be equal to summation of volume of both cube.

As we know that volume of a cube is given by -

V=s3

Here, side length of the smaller cube is 8.2 inch. i.e. s=8.2 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (8.2) 3 cubic inch {Put s=8.2 inch}⇒V=551.368 cubic inch⇒V=551.37 cubic inch {Rounding off to two decimal place}

Similarly, side length of the larger cube is 14.5 inch. i.e. s=14.5 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (14.5) 3 cubic inch {Put s=14.5 inch}⇒V=3048.625 cubic inch⇒V=3048.62 cubic inch {Rounding off to two decimal place}

Total volume of casting =551.37+3048.62 cubic inch=3600 cubic inch

Now, weight of aluminum is 0.0975 pound per cubic inch.

So, weight of aluminum for 3600 cubic inch =

0.0975×3600=351 pound.

This is the weight of aluminum for one casting.

Therefore, weight of aluminum for 15 castings =351×15=5265 pound.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 13, Problem 61A

To determine

To find the weight of aluminum for 15 castings.

Expert Solution & Answer

Answer to Problem 61A

5265 pound.

Given information:

A casting is given with dimensions in millimeter as below.

Mathematics for Machine Technology, Chapter 13, Problem 61A , additional homework tip 1

Calculation:

Here we observe that the casting is made by putting a smaller cube on top of a larger cube. So, volume of casting will be equal to summation of volume of both cube.

As we know that volume of a cube is given by -

V=s3

Here, side length of the smaller cube is 8.2 inch. i.e. s=8.2 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (8.2) 3 cubic inch {Put s=8.2 inch}⇒V=551.368 cubic inch⇒V=551.37 cubic inch {Rounding off to two decimal place}

Similarly, side length of the larger cube is 14.5 inch. i.e. s=14.5 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (14.5) 3 cubic inch {Put s=14.5 inch}⇒V=3048.625 cubic inch⇒V=3048.62 cubic inch {Rounding off to two decimal place}

Total volume of casting =551.37+3048.62 cubic inch=3600 cubic inch

Now, weight of aluminum is 0.0975 pound per cubic inch.

So, weight of aluminum for 3600 cubic inch =

0.0975×3600=351 pound.

This is the weight of aluminum for one casting.

Therefore, weight of aluminum for 15 castings =351×15=5265 pound.

Explanation of Solution

Given information:

A casting is given with dimensions in millimeter as below.

Mathematics for Machine Technology, Chapter 13, Problem 61A , additional homework tip 2

Calculation:

Here we observe that the casting is made by putting a smaller cube on top of a larger cube. So, volume of casting will be equal to summation of volume of both cube.

As we know that volume of a cube is given by -

V=s3

Here, side length of the smaller cube is 8.2 inch. i.e. s=8.2 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (8.2) 3 cubic inch {Put s=8.2 inch}⇒V=551.368 cubic inch⇒V=551.37 cubic inch {Rounding off to two decimal place}

Similarly, side length of the larger cube is 14.5 inch. i.e. s=14.5 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (14.5) 3 cubic inch {Put s=14.5 inch}⇒V=3048.625 cubic inch⇒V=3048.62 cubic inch {Rounding off to two decimal place}

Total volume of casting =551.37+3048.62 cubic inch=3600 cubic inch

Now, weight of aluminum is 0.0975 pound per cubic inch.

So, weight of aluminum for 3600 cubic inch =

0.0975×3600=351 pound.

This is the weight of aluminum for one casting.

Therefore, weight of aluminum for 15 castings =351×15=5265 pound.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 13, Problem 61A

To determine

To find the weight of aluminum for 15 castings.

Expert Solution & Answer

Answer to Problem 61A

5265 pound.

Given information:

A casting is given with dimensions in millimeter as below.

Mathematics for Machine Technology, Chapter 13, Problem 61A , additional homework tip 1

Calculation:

Here we observe that the casting is made by putting a smaller cube on top of a larger cube. So, volume of casting will be equal to summation of volume of both cube.

As we know that volume of a cube is given by -

V=s3

Here, side length of the smaller cube is 8.2 inch. i.e. s=8.2 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (8.2) 3 cubic inch {Put s=8.2 inch}⇒V=551.368 cubic inch⇒V=551.37 cubic inch {Rounding off to two decimal place}

Similarly, side length of the larger cube is 14.5 inch. i.e. s=14.5 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (14.5) 3 cubic inch {Put s=14.5 inch}⇒V=3048.625 cubic inch⇒V=3048.62 cubic inch {Rounding off to two decimal place}

Total volume of casting =551.37+3048.62 cubic inch=3600 cubic inch

Now, weight of aluminum is 0.0975 pound per cubic inch.

So, weight of aluminum for 3600 cubic inch =

0.0975×3600=351 pound.

This is the weight of aluminum for one casting.

Therefore, weight of aluminum for 15 castings =351×15=5265 pound.

Explanation of Solution

Given information:

A casting is given with dimensions in millimeter as below.

Mathematics for Machine Technology, Chapter 13, Problem 61A , additional homework tip 2

Calculation:

Here we observe that the casting is made by putting a smaller cube on top of a larger cube. So, volume of casting will be equal to summation of volume of both cube.

As we know that volume of a cube is given by -

V=s3

Here, side length of the smaller cube is 8.2 inch. i.e. s=8.2 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (8.2) 3 cubic inch {Put s=8.2 inch}⇒V=551.368 cubic inch⇒V=551.37 cubic inch {Rounding off to two decimal place}

Similarly, side length of the larger cube is 14.5 inch. i.e. s=14.5 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (14.5) 3 cubic inch {Put s=14.5 inch}⇒V=3048.625 cubic inch⇒V=3048.62 cubic inch {Rounding off to two decimal place}

Total volume of casting =551.37+3048.62 cubic inch=3600 cubic inch

Now, weight of aluminum is 0.0975 pound per cubic inch.

So, weight of aluminum for 3600 cubic inch =

0.0975×3600=351 pound.

This is the weight of aluminum for one casting.

Therefore, weight of aluminum for 15 castings =351×15=5265 pound.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 13, Problem 61A

To determine

To find the weight of aluminum for 15 castings.

Expert Solution & Answer

Answer to Problem 61A

5265 pound.

Given information:

A casting is given with dimensions in millimeter as below.

Mathematics for Machine Technology, Chapter 13, Problem 61A , additional homework tip 1

Calculation:

Here we observe that the casting is made by putting a smaller cube on top of a larger cube. So, volume of casting will be equal to summation of volume of both cube.

As we know that volume of a cube is given by -

V=s3

Here, side length of the smaller cube is 8.2 inch. i.e. s=8.2 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (8.2) 3 cubic inch {Put s=8.2 inch}⇒V=551.368 cubic inch⇒V=551.37 cubic inch {Rounding off to two decimal place}

Similarly, side length of the larger cube is 14.5 inch. i.e. s=14.5 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (14.5) 3 cubic inch {Put s=14.5 inch}⇒V=3048.625 cubic inch⇒V=3048.62 cubic inch {Rounding off to two decimal place}

Total volume of casting =551.37+3048.62 cubic inch=3600 cubic inch

Now, weight of aluminum is 0.0975 pound per cubic inch.

So, weight of aluminum for 3600 cubic inch =

0.0975×3600=351 pound.

This is the weight of aluminum for one casting.

Therefore, weight of aluminum for 15 castings =351×15=5265 pound.

Explanation of Solution

Given information:

A casting is given with dimensions in millimeter as below.

Mathematics for Machine Technology, Chapter 13, Problem 61A , additional homework tip 2

Calculation:

Here we observe that the casting is made by putting a smaller cube on top of a larger cube. So, volume of casting will be equal to summation of volume of both cube.

As we know that volume of a cube is given by -

V=s3

Here, side length of the smaller cube is 8.2 inch. i.e. s=8.2 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (8.2) 3 cubic inch {Put s=8.2 inch}⇒V=551.368 cubic inch⇒V=551.37 cubic inch {Rounding off to two decimal place}

Similarly, side length of the larger cube is 14.5 inch. i.e. s=14.5 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (14.5) 3 cubic inch {Put s=14.5 inch}⇒V=3048.625 cubic inch⇒V=3048.62 cubic inch {Rounding off to two decimal place}

Total volume of casting =551.37+3048.62 cubic inch=3600 cubic inch

Now, weight of aluminum is 0.0975 pound per cubic inch.

So, weight of aluminum for 3600 cubic inch =

0.0975×3600=351 pound.

This is the weight of aluminum for one casting.

Therefore, weight of aluminum for 15 castings =351×15=5265 pound.

Answer 6

Chapter 13, Problem 61A

To determine

To find the weight of aluminum for 15 castings.

Expert Solution & Answer

Answer to Problem 61A

5265 pound.

Given information:

A casting is given with dimensions in millimeter as below.

Mathematics for Machine Technology, Chapter 13, Problem 61A , additional homework tip 1

Calculation:

Here we observe that the casting is made by putting a smaller cube on top of a larger cube. So, volume of casting will be equal to summation of volume of both cube.

As we know that volume of a cube is given by -

V=s3

Here, side length of the smaller cube is 8.2 inch. i.e. s=8.2 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (8.2) 3 cubic inch {Put s=8.2 inch}⇒V=551.368 cubic inch⇒V=551.37 cubic inch {Rounding off to two decimal place}

Similarly, side length of the larger cube is 14.5 inch. i.e. s=14.5 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (14.5) 3 cubic inch {Put s=14.5 inch}⇒V=3048.625 cubic inch⇒V=3048.62 cubic inch {Rounding off to two decimal place}

Total volume of casting =551.37+3048.62 cubic inch=3600 cubic inch

Now, weight of aluminum is 0.0975 pound per cubic inch.

So, weight of aluminum for 3600 cubic inch =

0.0975×3600=351 pound.

This is the weight of aluminum for one casting.

Therefore, weight of aluminum for 15 castings =351×15=5265 pound.

Explanation of Solution

Given information:

A casting is given with dimensions in millimeter as below.

Mathematics for Machine Technology, Chapter 13, Problem 61A , additional homework tip 2

Calculation:

Here we observe that the casting is made by putting a smaller cube on top of a larger cube. So, volume of casting will be equal to summation of volume of both cube.

As we know that volume of a cube is given by -

V=s3

Here, side length of the smaller cube is 8.2 inch. i.e. s=8.2 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (8.2) 3 cubic inch {Put s=8.2 inch}⇒V=551.368 cubic inch⇒V=551.37 cubic inch {Rounding off to two decimal place}

Similarly, side length of the larger cube is 14.5 inch. i.e. s=14.5 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (14.5) 3 cubic inch {Put s=14.5 inch}⇒V=3048.625 cubic inch⇒V=3048.62 cubic inch {Rounding off to two decimal place}

Total volume of casting =551.37+3048.62 cubic inch=3600 cubic inch

Now, weight of aluminum is 0.0975 pound per cubic inch.

So, weight of aluminum for 3600 cubic inch =

0.0975×3600=351 pound.

This is the weight of aluminum for one casting.

Therefore, weight of aluminum for 15 castings =351×15=5265 pound.

Answer 7

Chapter 13, Problem 61A

To determine

To find the weight of aluminum for 15 castings.

Answer 8

Expert Solution & Answer

Answer to Problem 61A

5265 pound.

Given information:

A casting is given with dimensions in millimeter as below.

Mathematics for Machine Technology, Chapter 13, Problem 61A , additional homework tip 1

Calculation:

Here we observe that the casting is made by putting a smaller cube on top of a larger cube. So, volume of casting will be equal to summation of volume of both cube.

As we know that volume of a cube is given by -

V=s3

Here, side length of the smaller cube is 8.2 inch. i.e. s=8.2 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (8.2) 3 cubic inch {Put s=8.2 inch}⇒V=551.368 cubic inch⇒V=551.37 cubic inch {Rounding off to two decimal place}

Similarly, side length of the larger cube is 14.5 inch. i.e. s=14.5 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (14.5) 3 cubic inch {Put s=14.5 inch}⇒V=3048.625 cubic inch⇒V=3048.62 cubic inch {Rounding off to two decimal place}

Total volume of casting =551.37+3048.62 cubic inch=3600 cubic inch

Now, weight of aluminum is 0.0975 pound per cubic inch.

So, weight of aluminum for 3600 cubic inch =

0.0975×3600=351 pound.

This is the weight of aluminum for one casting.

Therefore, weight of aluminum for 15 castings =351×15=5265 pound.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Given information:

A casting is given with dimensions in millimeter as below.

Mathematics for Machine Technology, Chapter 13, Problem 61A , additional homework tip 2

Calculation:

Here we observe that the casting is made by putting a smaller cube on top of a larger cube. So, volume of casting will be equal to summation of volume of both cube.

As we know that volume of a cube is given by -

V=s3

Here, side length of the smaller cube is 8.2 inch. i.e. s=8.2 inch.

So, volume of the smaller cube will be -

V=s3 ⇒V= (8.2) 3 cubic inch {Put s=8.2 inch}⇒V=551.368 cubic inch⇒V=551.37 cubic inch {Rounding off to two decimal place}