Question

The surface area of this rectangular prism is 1,414 square meters. What is the volume?

Answer 1

2940

Explanation:

Surface Area of a rectangular prism is 2(LW)+2(HW)+2(LH)

We have that the surface area is 1414 where L=c , H=20, W=7

Let's plug all of this in to solve for c:

2(LW)+2(HW)+2(LH)=1414

2(c*7)+2(20*7)+2(c*20)=1414

14c+280+40c=1414

54c+280=1414

54c=1414-280

54c=1134

c=1134/54

c=21

Now the volume of a rectangular prism is V=L*W*H

So plug in our values L=21, H=20, W=7

V=21*20*7=2940