Chapter MPS, Problem 7.7MPS

(a)

To determine

To Find: The equation to describe the given situation.

Answer to Problem 7.7MPS

  $x^3-3375=0$

Explanation of Solution

Given:

  $\text{Volume of the cube is}=3375c{m}^3$

Formula Used:

  $\text{Volume of a cube }={\left(side\right)}^3$

Calculation:

  $\begin{array}{l}\text{Volume of the cube is}=3375c{m}^3\\ Let,\\ \text{Length of the cube box be}=x\\ \text{Volume of the box}=x^3\\ \text{⇒}{x}^3-3375=0\end{array}$

Conclusion:

Thus the required equation is $x^3-3375=0$

(b)

To determine

To Find: The edge of the cube.

Answer to Problem 7.7MPS

  $15cm$

Explanation of Solution

Given:

  $\text{Volume of the cube is}=3375c{m}^3$

Formula Used:

  $\text{Volume of a cube }={\left(side\right)}^3$

Calculation:

  $\begin{array}{l}\text{Volume of the cube is}=3375c{m}^3\\ Let,\\ \text{Length of the cube box be}=x\\ \text{Volume of the box}=x^3\\ \text{⇒}{x}^3-3375=0\\ \text{⇒}{x}^3=3375c{m}^3\\ \text{⇒}x=\sqrt[3]{3375}\\ \text{⇒}x=15cm\end{array}$

Conclusion:

Thus the area of the given figure is $15cm$ .