Question

Alex bought a new aquarium. He is in the process of setting it up. The aquarium is in the shape of a right rectangular prism and the dimensions, in inches, are 36 7 /8 × 19 × 24 5/ 8 . During the set-up, Alex fills the aquarium with 6 , 039 in3 of water. Part A What percent of the volume of the aquarium is filled with water? Round your answer to the nearest whole percent.

Answer 1

First let's find the volume of the aquarium. Remember that to find the volume of a rectangular prism, we have to multiply all 3 dimensions, then:

$\begin{gathered} V=(36\frac{7}{8})(19)(24\frac{5}{8})=(36.875)(19)(24.625)=17252.89 \\ V=17,252.89in^3 \end{gathered}$

Now that we know that the total volume of the aquarium is 17,252.89 in^3, we can find the percent of the volume filled with water using a rule of three:

$\begin{gathered} 17,252.89\rightarrow100\text{ \%} \\ 6039\rightarrow x\text{ \%} \\ \Rightarrow x=\frac{6039\cdot100}{17252.89}=\frac{603900}{17252.89}=35 \\ x=35\text{ \%} \end{gathered}$

therefore, Alex only filled the aquarium 35% of its capacity.