Math Question to Ask

Question

The volume of a cube is given by V=x^3, where x is the length of an edge of the cube. the area of a square is given by A=x^2, where x is the length of a side of the square. A given cube has a volume of 1728 cubic inches.

A. Find the length of an edge.

B. Find the area of one side of the cube.

C. Find the surface area of the cube.

D. What is the surface area in square feet.

Answer 1

A. To start, you know that V = x³, and the Volume is 1728 cubic inches.

So 1728 = x³.

To undo a cube, we need to take the cube-root.

Use your calculator to find the cube-root of 1728. x = 12.

That's the length of the edge, 12 inches.

B. Use that with A = x² to find the area of one side.

C. There are six sides on a cube, so multiply your answer from B by 6.

D. Remember how the edge was 12 inches? Convert that into 1 foot, then use that to find the area as in B and multiply by 6 as in C. There's your answer in square feet.

Message me if any of this didn't make sense, I'll explain it a different way.