Question
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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? Pecord your answer on the grid. Then fill in the bubbles

Ask by Gordon Schneider. in the United States
Dec 04,2024

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Answer

The width of the aquarium is 12 inches.

Solution

To find the width of the aquarium, we can use the formula for the volume of a rectangular prism, which is: \[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \] We know the following values: - Volume = 2,880 cubic inches - Length = 24 inches - Height = 10 inches We can rearrange the formula to solve for the width: \[ \text{Width} = \frac{\text{Volume}}{\text{Length} \times \text{Height}} \] Substituting the known values into the equation: \[ \text{Width} = \frac{2880}{24 \times 10} \] Calculating the denominator: \[ 24 \times 10 = 240 \] Now, substituting back into the equation: \[ \text{Width} = \frac{2880}{240} \] Calculating the width: \[ \text{Width} = 12 \] Thus, the width of the aquarium is **12 inches**.

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To find the width of the aquarium, you can use the formula for the volume of a rectangular prism: Volume = Length × Width × Height. You’ve been given the volume (2,880 cubic inches), the length (24 inches), and the height (10 inches). Plugging in the known values gives you: 2,880 = 24 × Width × 10. Now, simplify this to find the width: 2,880 = 240 × Width. Dividing both sides by 240 yields Width = 12 inches. So, the width of the aquarium is 12 inches! For filling in the bubbles, make sure to record the width accurately as per your assignment instructions! Good luck with your aquarium project!

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