Question

What is the surface area?

1. 17 ft squared

2. 34 ft squared

3. 12ft squared

4. 28 ft squared

Answer 1

2. 34 ft squared

Explanation:

The surface area for a rectangular prism is given by

A=2(wl+hl+hw)

w =1 1/2 = 1.5

l =2 ft

h = 4 ft

A = 2( 1.5 * 2 + 4*2 + 4*1.5)

= 2( 3 + 8 + 6)

= 2( 17)

= 34 ft^2

Answer 2

The top is 4ft by 2 ft, area = 4 * 2=8 square feet.

The back is 1 1/2 ft by 4 feet, area = 1.5 *4 = 6 square feet.

The bottom equals the top = 8 square feet.

The front equals the back = 6 square feet.

The left side is 1 1/2 ft by 2 ft = 2 * 1.5 = 3 square feet.

The right side equals the left side = 3 square feet.

Total area = 8 + 6 + 8 + 6 + 3 + 3 = 34 square feet