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Find the volume of a pyramid with a square base, where the side length of the base is

7.2 cm and the height of the pyramid is 10.4 cm Round your answer to the nearest tenth of a cubic centimeter.

1 Answer

7 votes

Answer:

V ≈ 179.8 cm^3

Explanation:

Did you know that you can find the volume of a pyramid using a simple formula? It's true! All you need to do is multiply one-third of the area of the base by the height of the pyramid. Sounds easy, right? Well, not so fast. There are a few things you need to watch out for. First, make sure you know what shape the base is. If it's not a square, you might need a different formula. Second, make sure you use the same units for all the measurements. If you mix up centimeters and meters, you'll end up with a very wrong answer. Third, don't forget to round your answer to the nearest tenth of a unit. Nobody likes a messy decimal.

Let's try an example. Suppose we have a pyramid with a square base that has a side length of 7.2 cm and a height of 10.4 cm. What is its volume? Well, first we need to find the area of the base. Since it's a square, we can just square the side length:

B = (7.2)^2

B = 51.84

Next, we plug in the values of B and h into the formula and simplify:

V = (1/3)Bh

V = (1/3)(51.84)(10.4)

V = 179.8144

Finally, we round our answer to the nearest tenth of a cubic centimeter:

V ≈ 179.8 cm^3

And there you have it! The volume of the pyramid is about 179.8 cm^3. Isn't math fun?

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User Mattbh
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