The shipping clerk packs a cube with side lengths of 8 inches into a box with side lengths of 10 inches. What is the volume of the space left in the larger box for packing materials?

What is the answer?!

Find the volume of the large box

Find the volume of the inner box
Subtract the two results.

Multi-Step The shipping clerk packs a cube

with side lengths of 8 inches into a box with
side lengths of 10 inches. What is the volume
of the space left in the larger box for packing
materials?

To find the volume of the space left in the larger box, we need to subtract the volume of the cube from the volume of the box.

The volume of a cube can be calculated by multiplying the length of one of its sides three times. In this case, the length of the side of the cube is 8 inches, so the volume of the cube is 8 * 8 * 8 = 512 cubic inches.

The volume of the box can be calculated by multiplying its three side lengths. In this case, the side lengths of the box are 10 inches each, so the volume of the box is 10 * 10 * 10 = 1000 cubic inches.

To find the volume of the space left in the larger box, subtract the volume of the cube from the volume of the box: 1000 - 512 = 488 cubic inches.

Therefore, the volume of the space left in the larger box for packing materials is 488 cubic inches.

The shipping cleck packs a cube with side lengths of 8. Inches into a box with side lengths of 10 inches. What is the volume of the space left in the large box for packing materials

I still don’t get it