andrewironlightning0 andrewironlightning0
  • 15-11-2018
  • Mathematics
contestada

A closed storage cube has a surface area of 1,014 square inches. What is the volume, in cubic inches, of the cube?

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bunnymarshmarloykw47
bunnymarshmarloykw47 bunnymarshmarloykw47
  • 24-11-2018

As the volume is length x length x length, we would need to find the length of the cube.

We can first ind the area of a single square plane of the cube, and a cube has 6 square planes. We can then divide the total surface area by 6:

1014÷6

=169 sq.inches

We can then proceed to find its length by finding its root:

√169

=13 inches

The volume of the cube:

13 x 13 x 13

=2197 cubic inches

Therefore the answer is 2197 cubic inches.

Hope it helps!

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