Question

A student builds a model of a high-rise for a diorama for an architecture class. The model is a perfect cube and the total volume is 500 cubic centimeters. How long is one side of the high-rise building? (Recall that the volume of a cube is calculated by l^3 where l is the length of one side).

Answer 1

Volume = length x width x height

Thus, you need to find the cubic root of 500....the number that when multiplied by itself three times = 500,

There are different ways to write this. $\sqrt[3]{500}$
= $\sqrt[3]{125 * 4}$
= 5$\sqrt[3]{4}$

You can also show it as a decimal using a calculator = 7.94