Mathematics for Machine Technology
Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 14, Problem 17A
To determine

(a)

The length of side of the given cube.

Expert Solution
Check Mark

Answer to Problem 17A

Side length of given cube is 6 mm.

Explanation of Solution

Given information:

A cube is given whose volume is 216mm3.

Calculation:

As we know that volume of a cube is given by  V=s3

So, side of a cube will be given as  s=V3.

  Mathematics for Machine Technology, Chapter 14, Problem 17A , additional homework tip  1Mathematics for Machine Technology, Chapter 14, Problem 17A , additional homework tip  2

Here, volume of the given cube is 216mm3. i.e. V=216mm3.

So, side of the cube will be as follows:

  s=V3s=216  mm33               {Put V=216 mm3}s=6 mm ×6 mm×6 mm3 s=6mm          

Hence, side of given cube is 6 mm.

To determine

(b)

To find the length of side of the given cube.

Expert Solution
Check Mark

Answer to Problem 17A

Side length of given cube is 4 inch.

Explanation of Solution

Given information:

A cube is given whose volume is 64 cubic inch.

Calculation:

As we know that volume of a cube is given by  V=s3

So, side of a cube will be given as  s=V3.

  Mathematics for Machine Technology, Chapter 14, Problem 17A , additional homework tip  3Mathematics for Machine Technology, Chapter 14, Problem 17A , additional homework tip  4

Here, volume of the given cube is 64 cubic inch. i.e. V=64 cubic inch.

So, side of the cube will be -

  s=V3s= 64 inch33               {Put V=64 inch3}s=4 inch ×4 inch×4 inch3 s=4 inch          

Hence, side of given cube is 4 inch.

To determine

(c)

The length of side of the given cube.

Expert Solution
Check Mark

Answer to Problem 17A

Side length of given cube is 8 inch.

Explanation of Solution

Given information:

A cube is given whose volume is 512 cubic inch.

Calculation:

As we know that volume of a cube is given by  V=s3

So, side of a cube will be given as  s=V3.

  Mathematics for Machine Technology, Chapter 14, Problem 17A , additional homework tip  5Mathematics for Machine Technology, Chapter 14, Problem 17A , additional homework tip  6

Here, volume of the given cube is 512 cubic inch. i.e. V=512 cubic inch.

So, side of the cube will be -

  s=V3s=512  inch33               {Put V=512 inch3}s=8 inch ×8 inch×8 inch3 s=8 inch          

Hence, side of given cube is 8 inch.

To determine

(d)

] length of side of the given cube.

Expert Solution
Check Mark

Answer to Problem 17A

Side length of given cube is 10 mm.

Explanation of Solution

Given information:

A cube is given whose volume is 1000mm3.

Calculation:

As we know that volume of a cube is given by  V=s3

So, side of a cube will be given as  s=V3.

  Mathematics for Machine Technology, Chapter 14, Problem 17A , additional homework tip  7Mathematics for Machine Technology, Chapter 14, Problem 17A , additional homework tip  8

Here, volume of the given cube is 1000mm3. i.e. V=1000mm2.

So, side of the cube will be

  s=V3s=1000  mm33               {Put V=1000 mm3}s=10 mm ×10 mm×10 mm3 s=10mm          

Hence, side of given cube is 10 mm.

To determine

(e)

The length of side of the given cube.

Expert Solution
Check Mark

Answer to Problem 17A

Side length of given cube is 1 inch.

Explanation of Solution

Given information:

A cube is given whose volume is 1 cubic inch.

Calculation:

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

  V=s3

So, side of a cube will be given as -

  s=V3.

  Mathematics for Machine Technology, Chapter 14, Problem 17A , additional homework tip  9Mathematics for Machine Technology, Chapter 14, Problem 17A , additional homework tip  10

Here, volume of the given cube is 1 cubic inch. i.e. V=1 cubic inch.

So, side of the cube will be -

  s=V3s=1  inch33               {Put V=1 inch3}s=1 inch ×1 inch×1 inch3 s=1 inch          

Hence, side of given cube is 1 inch.

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