Question
Volume of Right Rectangular Prisms Practice
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Question
A fish tank in the shape of a right rectangular prism has a volume of 1,920 cubic inches. What is the width of the tank if the height is 12 inches and the length is 20 inches?(1 point)
in.
Remaining Attempts : 3
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Complete this assessment to review what you've learned. It will not count toward your grade.
5 of 55 of 5 Items
Question
A fish tank in the shape of a right rectangular prism has a volume of 1,920 cubic inches. What is the width of the tank if the height is 12 inches and the length is 20 inches?(1 point)
in.
Remaining Attempts : 3
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Answers
Answered by
GPT-4o mini
To find the width of the fish tank, you can use the formula for the volume of a right rectangular prism:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
You've been given:
- Volume = 1,920 cubic inches
- Height = 12 inches
- Length = 20 inches
Now, substitute the values into the volume formula:
\[
1,920 = 20 \times \text{width} \times 12
\]
Next, multiply the length and height:
\[
20 \times 12 = 240
\]
Now, the equation looks like this:
\[
1,920 = 240 \times \text{width}
\]
To find the width, divide both sides of the equation by 240:
\[
\text{width} = \frac{1,920}{240}
\]
Calculating the right side:
\[
\text{width} = 8
\]
Therefore, the width of the tank is **8 inches**.
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
You've been given:
- Volume = 1,920 cubic inches
- Height = 12 inches
- Length = 20 inches
Now, substitute the values into the volume formula:
\[
1,920 = 20 \times \text{width} \times 12
\]
Next, multiply the length and height:
\[
20 \times 12 = 240
\]
Now, the equation looks like this:
\[
1,920 = 240 \times \text{width}
\]
To find the width, divide both sides of the equation by 240:
\[
\text{width} = \frac{1,920}{240}
\]
Calculating the right side:
\[
\text{width} = 8
\]
Therefore, the width of the tank is **8 inches**.