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xxMikexx [17]
4 years ago
9

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

m 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!!!
Mathematics
1 answer:
Sunny_sXe [5.5K]4 years ago
8 0

Answer:

\frac{27}{8}m^3 or 3.375m^3

Step-by-step 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 \frac{9}{4} m per wall

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

base * height =  area

b=\sqrt{\frac{9}{4} } = \frac{3}{2}

base = \frac{3}{2}m

height = \frac{3}{2}m

since: base=height=width, the width also equals \frac{3}{2}m

volume = (\frac{3}{2})^3= \frac{27}{8}

sorry it took so long for you to get an answer

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