Chapter 12.1, Problem 5PSA

a.

To determine

To find: The total surface area of a cube in which each edge has a measure of 5.

Answer to Problem 5PSA

The total surface area is $150$ .

Explanation of Solution

Given information:

A cube in which each edge has a measure of 5.

Formula used:

Area of square: $A=s^2$

s = side of square

Calculation:

  

  $\begin{array}{l}A(\square )=s^2\\ A(\square )={\left(5\right)}^2\\ A(\square )=25\end{array}$

There are 6 squares in a cube.

Total surface area = Area of square $\times 6$

Total surface area $=25\times 6$

Total surface area $=150$

b.

To determine

To calculate: The total area of surface in a cube having each edge a measure of 7.

Answer to Problem 5PSA

The total surface area is $294$ .

Explanation of Solution

Given information:

A cube in which each edge has a measure of 7.

Formula used:

Area of square: $A=s^2$

s = side of square

Calculation:

  

  $\begin{array}{l}A(\square )=s^2\\ A(\square )={\left(7\right)}^2\\ A(\square )=49\end{array}$

There are 6 squares in a cube.

Total surface area = Area of square $\times 6$

Total surface area $=49\times 6$

Total surface area $=294$