a. Answer 54ft 2 Explanation Given Information: Cuboid Equilateral Side = 3 ft. Formula Used: Surface Area of Cuboid = 6 × ( s i d e ) 2 Calculation: Cuboid Equilateral Side = 3 ft. When all 3 sides of cuboid is equal then, Surface Area of Platform A= 6 × ( s i d e ) 2 Put the value of Side to find Surface Area of Platform A Surface Area of Platform A= 6 × ( 3 ) 2 ft 2 So, Surface Area of Platform A= 6 × 9 ft 2 Hence, Surface Area of Platform A= 54ft 2 b. To determine To find the surface area platform B. Answer 52ft 2 Explanation Given Information: Cuboid Length = 4 ft., Base = 3 ft. and Height = 2 ft. Formula Used: Surface Area of Cuboid = 2 × ( L e n g t h × B a s e + B a s e × H e i g h t + H e i g h t × L e n g t h ) Calculation: Cuboid Length = 4 ft., Base = 3 ft. and Height = 2 ft. Surface Area of Platform B= 2 × ( L e n g t h × B a s e + B a s e × H e i g h t + H e i g h t × L e n g t h ) Put the value of Length, Base and Height to find Surface Area of Platform B Surface Area of Platform B= 2 × ( 4 × 3 + 3 × 2 + 2 × 4 ) ft 2 So, Surface Area of Platform B= 2 × ( 12 + 6 + 8 ) ft 2 So, Surface Area of Platform B= 2 × 26 ft 2 Hence, Surface Area of Platform B= 52ft 2 c. To determine To find the surface area platform C. Answer 30ft 2 Explanation Given Information: Cuboid Length = 3 ft., Base = 3 ft. and Height = 1 ft. Formula Used: Surface Area of Cuboid = 2 × ( L e n g t h × B a s e + B a s e × H e i g h t + H e i g h t × L e n g t h ) Calculation: Cuboid Length = 3 ft., Base = 3 ft. and Height = 1 ft. Surface Area of Platform C= 2 × ( L e n g t h × B a s e + B a s e × H e i g h t + H e i g h t × L e n g t h ) Put the value of Length, Base and Height to find Surface Area of Platform C Surface Area of Platform C= 2 × ( 3 × 3 + 3 × 1 + 1 × 3 ) ft 2 So, Surface Area of Platform C= 2 × ( 9 + 3 + 3 ) ft 2 So, Surface Area of Platform C= 2 × 15 ft 2 Hence, Surface Area of Platform C= 30ft 2 d. To determine To find the Total surface area of platform. Answer 136 ft 2 Explanation Given Information: Surface Area of Platform A, Surface Area of Platform B and Surface Area of Platform C. Formula Used: Total Surface Area = Surface Area of Platform A + Surface Area of Platform B + Surface Area of Platform C. Calculation: Total Surface Area = Surface Area of Platform A + Surface Area of Platform B + Surface Area of Platform C.Surface Area of Solid = 2 × ( L e n g t h × B a s e + B a s e × H e i g h t + H e i g h t × L e n g t h ) Total Surface Area = 54ft 2 + 52ft 2 + 30ft 2 Total Surface Area = 136 ft 2

1st Edition

ISBN: 9780618800766

Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold

Publisher: Houghton Mifflin-High School

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Question

Chapter 10.5, Problem 14E

To determine

To find the surface area platform A.

Expert Solution

Answer to Problem 14E

54ft²

Explanation of Solution

Given Information: Cuboid Equilateral Side = 3 ft.

Formula Used:

Surface Area of Cuboid = 6×(side)2

Calculation:

Cuboid Equilateral Side = 3 ft.

When all 3 sides of cuboid is equal then,

Surface Area of Platform A= 6×(side)2

Put the value of Side to find Surface Area of Platform A

Surface Area of Platform A= 6×(3)2 ft²

So,

Surface Area of Platform A= 6×9 ft²

Hence,

Surface Area of Platform A= 54ft²

To determine

To find the surface area platform B.

Expert Solution

Answer to Problem 14E

52ft²

Explanation of Solution

Given Information: Cuboid Length = 4 ft., Base = 3 ft. and Height = 2 ft.

Formula Used:

Surface Area of Cuboid = 2×(Length×Base + Base×Height + Height×Length)

Calculation:

Cuboid Length = 4 ft., Base = 3 ft. and Height = 2 ft.

Surface Area of Platform B= 2×(Length×Base + Base×Height + Height×Length)

Put the value of Length, Base and Height to find Surface Area of Platform B

Surface Area of Platform B= 2×(4×3+ 3×2+ 2×4) ft²

So,

Surface Area of Platform B= 2×(12+ 6 + 8) ft²

So,

Surface Area of Platform B= 2×26 ft²

Hence,

Surface Area of Platform B= 52ft²

To determine

To find the surface area platform C.

Expert Solution

Answer to Problem 14E

30ft²

Explanation of Solution

Given Information: Cuboid Length = 3 ft., Base = 3 ft. and Height = 1 ft.

Formula Used:

Surface Area of Cuboid = 2×(Length×Base + Base×Height + Height×Length)

Calculation:

Cuboid Length = 3 ft., Base = 3 ft. and Height = 1 ft.

Surface Area of Platform C= 2×(Length×Base + Base×Height + Height×Length)

Put the value of Length, Base and Height to find Surface Area of Platform C

Surface Area of Platform C= 2×(3×3 + 3×1+ 1×3) ft²

So,

Surface Area of Platform C= 2×(9+ 3 + 3) ft²

So,

Surface Area of Platform C= 2×15 ft²

Hence,

Surface Area of Platform C= 30ft²

To determine

To find the Total surface area of platform.

Expert Solution

Answer to Problem 14E

136 ft²

Explanation of Solution

Given Information:Surface Area of Platform A, Surface Area of Platform B and Surface Area of Platform C.

Formula Used:

Total Surface Area = Surface Area of Platform A + Surface Area of Platform B + Surface Area of Platform C.

Calculation:

Total Surface Area = Surface Area of Platform A + Surface Area of Platform B + Surface Area of Platform C.Surface Area of Solid = 2×(Length×Base + Base×Height + Height×Length)

Total Surface Area = 54ft²+ 52ft²+ 30ft²

Total Surface Area = 136 ft²

Chapter 10.5, Problem 13E

Chapter 10.5, Problem 15E

Chapter 10 Solutions

Pre-Algebra

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