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  • 10-06-2019
  • Mathematics
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The surface area of this rectangular prism is 1,414 square meters. What is the volume?

The surface area of this rectangular prism is 1414 square meters What is the volume class=

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freckledspots freckledspots
  • 10-06-2019

Answer:

2940

Step-by-step 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

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