Question

A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 13.5\text{ m}^213.5 m

2
13, point, 5, start text, space, m, end text, squared of material to build the cube.
What is the volume inside the giant sugar cube?
Give an exact answer (do not round).
please hurry

Answer 1

3.375

Explanation:

The amount of material it took to build the cube is the same as the surface area. Since a cube has 6 congruent faces we can divide to find the area of one face.

13.5/6 = 2.25m.

2.25m is the area for each face of the cube.

Each face is square and has an area of 2.25m. To find the length of each side of the square we can take the square root. The square root of 2.25 is 1.5. The length of each side of the square is 1.5 metres.

To find the volume of the cube, we can use the formula V = lwh.

V = lwh

V = 1.5*1.5*1.5

V = 3.375

The volume of the giant sugar cube is 3.375m.