The cube in the image has a volume of 1,000 cubic feet. The other solid has the same base and height as the cube, but the length of each of its slanted sides is 2 units longer than the height. What is the volume of the tilted solid?

Question

anonymous · Answer

A: 800 cubic feet

B: 1,000 cubic feet

C: 1,200 cubic feet

D: 2,000 cubic feet

igreen · Answer

It becomes a rectangular prism.

igreen · Answer

Volume of a cube:

$V = a^3$

$1000 = a^3$

$a = \sqrt[3]{1000}$

igreen · Answer

Can you find the cube root of 1000?

anonymous · Answer

ok is it 31.62

igreen · Answer

No..

igreen · Answer

The cube root of 1000 is 10, because 10 * 10 * 10 = 1000.

So the side of the cube measures 10 feet.

The length here is increased by 2, so the length is 12. The width and height will be 10.

Plug these into the formula for a rectangular prism:

$V = lwh$

$V = (12)(10)(10)$

Multiply 12 * 10 * 10

anonymous · Answer

1200

igreen · Answer

Yes, that's our answer.

anonymous · Answer

thanks