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Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 9 cm and the height of the pyramid is 10 cm. To get the wax for the candle, Devin melts cubes of wax that are each 4 cm by 4 cm by 4 cm. How many of the wax cubes will Devin need in order to make the candle?

Answer :

facundo3141592

Devin needs 5 cubes of wax to make the candle.

How many of the wax cubes will Devin need to make the candle?

First, we need to get the volume of the candle.

Remember that for a square pyramid, the volume is equal to the product between the base and the height divided by 3.

In this case, the base is:

B = 9cm*9cm = 81cm²

And the height is H = 10cm, then the volume is:

V =  81cm²*10cm/3 = 270cm³

While each cube of wax has a volume of:

v = (4cm)³ = 64cm³

To see the number of cubes that we need, we need to take the quotient between the two volumes:

N = V/v = 270/64 = 4.22

Rounding to the next whole number, we get N = 5.

Devin needs 5 cubes of wax to make the candle.

If you want to learn more about volumes:

https://brainly.com/question/1972490

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