Chapter 12, Problem 7MCQ

To determine

To calculate:To find the amount of water that can fit into an aquarium

Answer to Problem 7MCQ

The amount of water that can fit into aquarium is $1\frac{2}{3}fee{t}^3$

Explanation of Solution

Given information:Aquarium has length $15$ inches, width $12$ inches and height $16$ inches

Formula Used:

Volume of cuboid is product of length, width and height of cuboid

  $Volume=Length\times Width\times Height$

Calculation:

Given that the aquarium has length $15$ inches, width $12$ inches and height $16$ inches

Now, the amount of water that can fit into aquarium is equal to volume of aquariaum

Here, the aquarium is in cuboid shape with below dimensions:

  $\begin{array}{l}Length=15in.\\ Width=12in.\\ Height=16in.\end{array}$

Volume prism is calculated as follows:

  $Volume=Length\times Width\times Height$

Substituting the values, volume is

  $\begin{array}{l}Volume=15\times 12\times 16\\ Volume=2880inche{s}^3\end{array}$

On converting into feet,

  $\begin{array}{l}Volume=\frac{2880}{12\times 12\times 12}fee{t}^3\\ Volume=\frac{240}{1\times 12\times 12}fee{t}^3\\ Volume=\frac{20}{1\times 1\times 12}fee{t}^3\\ Volume=\frac{5}{3}fee{t}^3\\ Volume=1\frac{2}{3}fee{t}^3\end{array}$

Conclusion:

Hence, amount of water that can fit into aquarium is $1\frac{2}{3}fee{t}^3$

Correct option is A.