Question

an aquarium can be modeled as a right rectangular prism and it can hold 980 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.

Explanation:

Step1: Recall the volume formula for a rectangular prism

The volume \( V \) of a rectangular prism is given by \( V = l\times w\times h \), where \( l \) is the length, \( w \) is the width, and \( h \) is the height.

Step2: Substitute the known values into the formula

We know \( V = 980\) cubic inches, \( w = 7\) inches, and \( h = 7\) inches. Plugging these into the formula: \( 980=l\times7\times7\).

Step3: Solve for \( l \)

First, simplify \( 7\times7 = 49\). So the equation becomes \( 980 = 49l\). Then, divide both sides by 49: \( l=\frac{980}{49}\).

$$ l=\frac{980}{49}=20 $$

Answer:

\(20\)