Question

The surface area of a rectangular prism is 2,280 square feet. If the width and height are 20 and 15 feet, the length of the prism is 24 ft?

Answer 1

The statement is trrue.

Explanation:

Given that,

The surface area of a rectangular prism = 2,280 square feet

Width, b =20 feet

Height, h = 15 feet

The formula for the surface area of a rectangular prism is given by :

`A=2(lb+bh+hl)`

Where

l is the length of the prism

Substitute all the values,

`A=2(lb+bh+hl)\\\\2,280=2(20l+20* 15+15l)\\\\1140=(20l+20* 15+15l)\\\\1140=35l+300\\\\1140-300=35l\\\\35l=840\\\\l=24\ feet`

So, the length of the prism is equal to 24 feet.