Question

kyle has an aquarium in the shape of a rectangular prism. the aquarium is 24 inches long and has a height of 10 inches. the volume of the aquarium is 2,880 cubic inches. what is the width, in inches, of the aquarium? record your answer on the grid. then fill in the bubbles.

Explanation:

Step1: Recall the volume formula for a rectangular prism

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

Step2: Rearrange the formula to solve for the width

We can rewrite the formula as \(w=\frac{V}{l\times h}\).

Step3: Substitute the given values into the formula

Given \(V = 2880\) cubic inches, \(l = 24\) inches, and \(h = 10\) inches. Then \(w=\frac{2880}{24\times10}\).
First, calculate \(24\times10 = 240\). Then \(w=\frac{2880}{240}=12\).

Answer:

12