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A rectangular prisin has o square base with sides that are 2 feet long the height of the prism is 5 feet What is the volume of the prism? Show your work Solution

Ask by Harper Reyes. in the United States
Dec 30,2024

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The volume of the prism is 20 cubic feet.

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To find the volume of a rectangular prism, you can use the formula: Volume = Base Area × Height. Since the base is a square with sides that are 2 feet long, the area of the base is: Base Area = side × side = 2 feet × 2 feet = 4 square feet. Now, multiply the base area by the height: Volume = 4 square feet × 5 feet = 20 cubic feet. So, the volume of the rectangular prism is 20 cubic feet. When you think about structures like skyscrapers, they often have a rectangular or square base. The formula for the volume helps architects and engineers calculate how much usable space will be inside. Knowing the volume of a prism can also be handy for planning out storage space, like in closets or garages! When calculating volume, remember to always double-check your measurements and units. A common mistake is confusing cubic feet with square feet, which can throw off your calculations. Always make sure that when you multiply, the dimensions align properly: area (square units) times height (linear units) gives you volume (cubic units)!

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