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What is the surface area of each figure? Round to the nearest tenth if necessary. A 12 ft 6 ft 8 ft O a. 336 ft2 b. 288 ft? c. 144 ft Od. 134 ft?

What is the surface area of each figure? Round to the nearest tenth if necessary. A-example-1

1 Answer

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Answer: Surface area = 336 ft^2

Step-by-step explanation:

To calculate the surface area of the given figure, we would find the area of each face of the figure. Looking at the figure, it has

2 triangular faces

one small rectangular face

2 rectangular faces at the top and base

Considering the triangular faces, the formula for calculating the area of a triangle is expressed as

Area = 1/2 x base x height

base = 8

height = 6

Area of 2 triangles = 2 x 1/2 x 8 x 6 = 48

Considering the small rectangle,

length = 12

width = 6

Area of small rectangle = 12 x 6 = 72

Considering the rectangle at the top,

length = 12

width = 10

Area of rectangle at the top = x 12 x 10 = 120

Considering the bigger rectangle at the base,

length = 12

width = 8

Area of rectangle at the top = 12 x 8 = 96

Thus,

Surface area = 48 + 72 + 120 + 96 =

Surface area = 336 ft^2

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