Question

A formula for finding SA, the surface area of a rectangular prism, is

SA = 2(ab + ac + bc), where a, b, and c represent the lengths of the edges of the prism. What is the surface area of this prism if a = 12 inches, b = 6 inches, and c = 4 inches?

A. 240 in. 2
B. 248 in. 2
C. 288 in. 2
D. 258 in.2

Answer 1

The answer is C

Explanation:

Answer 2

Option C.

Explanation:

It is given that the surface area of a rectangular prism, is

`SA=2(ab+ac+bc)`

where a, b, and c represent the lengths of the edges of the prism.

We need to find the surface area of this prism if a = 12 inches, b = 6 inches, and c = 4 inches.

Substitute a=12, b=6 and c=4 in the above formula.

`SA=2((12)(6)+(12)(4)+(6)(4))`

`SA=2(72+48+24)`

`SA=2(144)`

`SA=288`

The surface area of this prism is 288 sq.inches.

Therefore, the correct option is C.