Question

An aquarium shaped like a cube holds \[2744\] cubic inches of water. How tall is the aquarium?

Answer 1

Hint: From the given question we are asked to find how tall is the aquarium? with the amount of water it holds is given. For solving this question first we will understand that we are given the volume of the aquarium. So, we will find the side of the aquarium using the cube root of a number formula and solve the given question. So, we proceed with our question as follows.

Complete step by step solution:
We are given that the volume of the aquarium which is in the shape of a cube is \[2744\] cubic inches.
Let us assume that the side of the aquarium which is in the shape of a cube is \['a'\].
So, from the given we understand that the volume can be written as a cube of the side of the aquarium.
So, now we equate the cube of the side of the aquarium to the given volume of the aquarium.
So, we get as follows.
\[\Rightarrow {{a}^{3}}=2744\]
Now we will do a cube root on the both sides that is on the right side and the left hand side of the equation. So, we get the equation reduced as follows.
\[\Rightarrow a=\sqrt[3]{2744}\]
Now we can write this further as follows.
\[\Rightarrow a=\sqrt[3]{{{\left( 14 \right)}^{3}}}\]
\[\Rightarrow a=14\] inches.

Therefore, the aquarium is \[14\] inches tall.

Note: Students should have good knowledge in the concept of finding the cube root of a number. students must be careful in writing the units. The point to be noted is the units for volume will be cubic inches but for tallness it will be inches.