Question

An aquarium can be modeled as a right rectangular prism and it can hold 882 cubic inches of water when it is full. Its width is 7 in and height is 7 in. Find the length of the aquarium in inches. Round your answer to the nearest tenth if necessary.

Answer 1

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

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Answer 2

Concept:

The 3-dimensional space bounded by a border or inhabited by an item is known as volume. Cubic units, such as cubic centimetres, cubic inch, cubic foot, cubic metre, and so on, are used to measure the volume of an item.

Given:

The volume of the rectangular prism is $882 cubic \quad inches$.

The width of the aquarium is $7 inches$.

The height of the aquarium is $7 inches$.

Find:

The length of the aquarium.

Solution:

The volume of the aquarium $=lbh$.

$882=l*7*7\\882=49l\\\\l=\frac{882}{49}\\\\l=18 inches$

Hence, the length of the aquarium is $18 inches$.