Chapter 4, Problem 87A

Interpretation Introduction

Interpretation : The volume of the aquarium in cubic centimeters of water is to be calculated.

Concept Introduction : Any sample of matter takes up space, which is known as volume. The volume of cubic solid is obtained by the multiplication of length by width by height.

The formula of volume is given as:

  $\text{Volume}=\text{length×width×height}$

Answer to Problem 87A

The volume of the aquarium is $1.34\times {10}^7{\text{cm}}^3$ .

Explanation of Solution

Given information:

The length is $54.0\text{cm}$ .

The width is $31.10\text{m}$ .

The height is $\text{80}\text{.0}\text{cm}$ .

Any sample of matter takes up space, which is known as volume. The volume of cubic solid is obtained by the multiplication of length by width by height.

The formula of volume is given as:

  $\text{Volume}=\text{length×width×height}$

Since the answer should be in cubic centimeters, all the terms should be converted to cubic centimeters.

To calculate the volume, substitute the values in the above equation.

  $\begin{array}{c}\text{Volume}=\text{length×width×height}\\ =54.0\text{cm}\times 31.10\cancel{\text{m}}\times \frac{{10}^2\text{cm}}{1\cancel{\text{m}}}\times \text{80}\text{.0}\text{cm}\\ =1.34\times {10}^5\times {10}^2{\text{cm}}^3\\ =1.34\times {10}^7{\text{cm}}^3\end{array}$

Conclusion

The volume of the aquarium is $1.34\times {10}^7{\text{cm}}^3$ .