Chapter SH, Problem 10.24EP

a.

To determine

To write an expression to represent the volume of new cube.

Answer to Problem 10.24EP

  ${(s+0.25)}^3$ Cubic centimeter.

Explanation of Solution

Given:

The side of each cube is $s$ and increased by $0.25$ .

Calculation:

Since the side of each cube is $s$ and increased by $0.25$ , therefore the expression for the volume of cube is

  ${(s+0.25)}^3$ Cubic centimeter.

b.

To determine

To expand the binomial expression.

Answer to Problem 10.24EP

  $s^3+0.75s^2+0.1875s+0.015625$

Explanation of Solution

Given:

The side of each cube is $s$ and increased by $0.25$ .

Calculation:

The binomial expression can is expanded as follows-

  $\begin{array}{l}$ {(s+0.25)}^3$$ =s^3+{(0.25)}^3+3\cdot s\cdot 0.25(s+0.25)$=s^3+0.75s^2+0.1875s+0.015625\end{array}$