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) 400ft
b) 460ft
c) 540ft
d) 1200ft

Answer 1

The lateral surface area of a rectangular prism is 2(Length × Width + Width × Height + Height × Length). For the given dimensions of 15 ft by 8 ft by 10 ft, the lateral surface area is 1160 square feet.

Step-by-step explanation:

The lateral surface area of a rectangular prism can be found by adding up the areas of all four sides. The formula for the lateral surface area of a rectangular prism is:

Lateral Surface Area = 2(Length × Width + Width × Height + Height × Length)

For the given rectangular prism, with dimensions 15 feet by 8 feet by 10 feet, the lateral surface area can be calculated as:

(2(15 feet × 8 feet) + 2(8 feet × 10 feet) + 2(10 feet × 15 feet)) = 2(120 + 160 + 300) = 2(580) = 1160 square feet.

Therefore, the correct answer is d) 1200ft.