Question

Find the lateral surface area of the rectangular prism shed.

A storage shed is shaped like a rectangular prism. It is 15 feet long, 8 feet wide, and 10 feet tall.

a) 400 ft sq.
b) 460 ft sq.
c) 540 ft sq.
d) 1200 ft sq.

Answer 1

The lateral surface area of the rectangular prism shed is 700 square feet.

Step-by-step explanation:

To find the lateral surface area of a rectangular prism, we need to calculate the sum of the areas of all the four lateral faces. Each face is a rectangle, and the area of a rectangle is found by multiplying the length by the width. In this case, the length of the rectangular prism is 15 feet, the width is 8 feet, and the height is 10 feet.

The lateral surface area of the rectangular prism is therefore:

Lateral Surface Area = 2(lw + lh + wh)

= 2((15)(8) + (15)(10) + (8)(10))

= 2(120 + 150 + 80)

= 2(350)

= 700