Chapter 12.4, Problem 5PSA

a.

To determine

To calculate: The volume of a cube with an edge of 7.

Answer to Problem 5PSA

The volume of a cube is $343$ .

Explanation of Solution

Given information:

e = 7.

Formula used:

Volume of cube $=e^3$

e = edge of cube

Calculation:

  

Volume of cube $=e^3$

Volume of cube $={\left(7\right)}^3$

Volume of cube $=343$

b.

To determine

To find: The volume of a cube with an edge of e .

Answer to Problem 5PSA

The volume of a cube is $e^3$ .

Explanation of Solution

Given information:

Edge of cube = e .

Formula used:

Volume of cube $=e^3$

e = edge of cube

Calculation:

  

Volume of cube $=e^3$

Volume of cube $={\left(e\right)}^3$

c.

To determine

To find: The edge of a cube with a volume of 25.

Answer to Problem 5PSA

The edge of a cube is $5$ .

Explanation of Solution

Given information:

Volume of cube = 25.

Formula used:

Volume of cube $=e^3$

e = edge of cube

Calculation:

  

Volume of cube $=e^3$

  $\begin{array}{l}125={\left(e\right)}^3\\ e=\sqrt[3]{125}\\ e=5\end{array}$