Question

Rita's room is in the shape of a rectangular prism. It is 12 feet long, 10 feet wide, and 8 feet high. What is the surface area of Rita's room?

Answer 1

The formula for surface area of a rectangular prism is: 2(wl+hl+hw) which then simplifies to the answer of 592 ft squared

Answer 2

592 square feet is the surface area of Rita's room

Explanation:

Surface area(S) of rectangle is given by:

`S=2(lw+wh+hl)`

where,

l is the length, w is the width and h is the height of the rectangle.

As per the statement:

Rita's room is in the shape of a rectangular prism

It is 12 feet long, 10 feet wide, and 8 feet high

⇒l = 12 feet , w = 10 feet and h = 8 feet.

Substitute the given values we have;

`S = 2(12 \cdot 10+10 \cdot 8+8 \cdot 12) = 2(120+80+96) = 2(296) = 592 ft^2`

Therefore, the surface area of Rita's room is, 592 square feet