Mr. Suárez wants to paint his storage shed. He needs to calculate the lateral surface area of the shed so that he will know how much paint to buy. The shed is in the shape of a rectangular prism with the
dimensions shown below.
9 Ft
6 ft
12 ft

A. 162
B. 234
C. 648
D. 324

Lateral surface area of the storage shed = 336 ft²

Step-by-step explanation:

The shed is in the shape of a rectangular prism. The lateral surface area of the storage shed can be calculated below. The lateral area is the sides of the prism.

lateral area of a rectangular prism = 2h (l + w)

where

l = length

h = height

w = width

h = 8 ft

l = 14 ft

w = 7 ft

lateral area of a rectangular prism = 2h (l + w)

lateral area of a rectangular prism = 2 × 8 × (14 + 7)

lateral area of a rectangular prism = 16 (21)

lateral area of a rectangular prism = 336 ft²

Lateral surface area of the storage shed = 336 ft²

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step-by-step explanation: