Question

A triangular prism. The rectangular sides are 8 inches by 4 inches, 8 inches by 5 inches, and 8 inches by 3 inches. The triangular sides have a base of 4 inches and height of 3 inches.

The area of each triangular base is:

A = 1/2(b)(h)   A = 1/2(4)(3)

A = in.2
There are two bases, so total base area is in.2.
The lateral area is:

A = 8(4) + 8(3) + 8(5)

A = in.2
The total surface area is in.2.

Answer 1

A of each triangular base = 6 in²

A of both bases = 12 in²

Lateral A = 96 in²

Surface area = 108 in²

Explanation:

Area of each triangular base

1/2(3)(4) = 1/2(12) = 6

Area of both bases

6*2 = 12

Lateral Area

(8)(3) + (8)(4) + (8)(5)

24 + 32 + 40

96

Total Surface area

96 + 12 = 108 in²

Answer 2

A of each triangular base = 6 in²

A of both bases = 12 in²

Lateral A = 96 in²

Surface area = 108 in²

Explanation:

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