How do you convert area to volume? The question I have is "Find the volume of a cube that has a total area of 96 sq. in."

Question

mathmale · Answer

This is not really a matter of converting area to volume.  Instead, you need to determine the length of a side of one of the SQUAREs that make up the total volume 96 square inches.  Once you have that side length, you find the VOLUME of the cube.

Hint #1:  What is the formula for the area of a cube of side length x?
Hint #2:  What is the formula for the volume of a cube of side length x?

From Hint #1, find the length of any side of the given cube.

anonymous · Answer

Is the length to one side 24 sq. in. ?

anonymous · Answer

Area of one face of the cube (6 faces) : 96/6 = 16 sq"
One side of the square: V16 = 4 "

mathmale · Answer

Area of one face of the cube (6 faces) : (96 square inches)/6 = 16 square inches per side.
One side of the square: Sqrt(16)=4.  (Thanks to thu1935)

Now you have the length of a side.  What is the volume of the cube?

anonymous · Answer

Volume: (4)^3 = 4 x 4 x 4 = 64 cu"

mathmale · Answer

@CastoD33:  Please make sure you take notes on the formulas for the surface area and volume of a cube; you will need these formulas later.   Any questions about this particular problem?