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 13.5m squared of material to build the cube. What is the volume inside the giant sugar cube? Give an exact answer (do not round). ANSWER FAST PLS BEEN 10 MINS!!!

Answer 1

`(27)/(8)m^3` or
`3.375m^3`

Explanation:

The formula for volume is Base * Height * Width; and the formula for area is Base * Height.

This problem mentions the structure is a cube and therefore it is assumed that every wall has the same area. Since there are 6 sides to a cube you divide the total amount of ft which make up this cube to know the area to each wall.

`13.5 m/6` = 2.25 or
`(9)/(4) m` per wall

With the area of each wall you can find the base and height:

base * height = area

`b=\sqrt{(9)/(4) } = (3)/(2)`

base =
`(3)/(2)`m

height =
`(3)/(2)`m

since: base=height=width, the width also equals
`(3)/(2)`m

volume =
`((3)/(2))^3`=
`(27)/(8)`

sorry it took so long for you to get an answer