a.
To find the surface area platform A.
a.
Answer to Problem 14E
54ft2
Explanation of Solution
Given Information: Cuboid Equilateral Side = 3 ft.
Formula Used:
Surface Area of Cuboid =
Calculation:
Cuboid Equilateral Side = 3 ft.
When all 3 sides of cuboid is equal then,
Surface Area of Platform A=
Put the value of Side to find Surface Area of Platform A
Surface Area of Platform A=
So,
Surface Area of Platform A=
Hence,
Surface Area of Platform A= 54ft2
b.
To find the surface area platform B.
b.
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 =
Calculation:
Cuboid Length = 4 ft., Base = 3 ft. and Height = 2 ft.
Surface Area of Platform B=
Put the value of Length, Base and Height to find Surface Area of Platform B
Surface Area of Platform B=
So,
Surface Area of Platform B=
So,
Surface Area of Platform B=
Hence,
Surface Area of Platform B= 52ft2
c.
To find the surface area platform C.
c.
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 =
Calculation:
Cuboid Length = 3 ft., Base = 3 ft. and Height = 1 ft.
Surface Area of Platform C=
Put the value of Length, Base and Height to find Surface Area of Platform C
Surface Area of Platform C=
So,
Surface Area of Platform C=
So,
Surface Area of Platform C=
Hence,
Surface Area of Platform C= 30ft2
d.
To find the Total surface area of platform.
d.
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 =
Total Surface Area = 54ft2+ 52ft2+ 30ft2
Total Surface Area = 136 ft2
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Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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