MATH SOLVE

7 months ago

Q:
# A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 54 feet^2 of material to build the cube.What is the volume inside the giant sugar cube?

Accepted Solution

A:

To find th volume, you must first use the surface are to find the dimension of one edge.

To do this, you take the total surface area of 54 ft.² and divided by six because there are six congruent faces. This will give us an area of 9 ft.² per face.

Because these are squares each dimension would need to be 3 feet.

To use this to find the volume multiply the length of 3 ft by the width of 3 ft by the height of 3ft.

The volume would be 27 cubic feet.

To do this, you take the total surface area of 54 ft.² and divided by six because there are six congruent faces. This will give us an area of 9 ft.² per face.

Because these are squares each dimension would need to be 3 feet.

To use this to find the volume multiply the length of 3 ft by the width of 3 ft by the height of 3ft.

The volume would be 27 cubic feet.