Question

Sewing You are making a beanbag footstool in the shape of a cube with an edge length of 50 centimeters. In order to fill the footstool with plastic beads, you need to know its volume. Find the volume of the footstool.

Short answer

The volume of footstool is $125000{\text{cm}}^3$.

Step-by-step solution

Step-1 – Volume of cube

The volume of a cube with side length x is given by the formula

$\begin{array}{l}\text{Volumeofcube}={\left(\text{side}\right)}^3\\ V=x^3\end{array}$

Step-2 – Given

The length of the cube shaped footstool is 50 cm.

We need to find the volume of the footstool.

So, substitute the value of side length in above formula of volume of cube and evaluate further by multiplying.

Step-3 – Find the volume of footstool

In order to evaluate the volume of the footstool, substitute 50 for x in above volume formula and simplify further as shown below by expanding the exponent

$\begin{array}{c}\text{Volumeoffootstool}={\left(\text{side}\right)}^3\\ ={\left(50\right)}^3\\ =50\cdot 50\cdot 50\\ =125000\end{array}$

Thus, the volume of the footstool is $125000{\text{cm}}^3$.