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 6 cm an

Question

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 6 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 2 cm by 2 cm by 2 cm. How many of the wax cubes will Devin need in order to make the candle? Show your work.

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Mackenzie 1 week 2021-10-05T17:59:58+00:00 1 Answer 0

Answers ( )

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    2021-10-05T18:01:42+00:00

    Answer: He will need 15 wax cubes.

    Step-by-step explanation:

    Hi, to answer this question, first, we have to calculate the volume of the pyramid:

    Volume of the pyramid (P) =  1/3 x base area x height

    Base area = side ²= 6^2 = 36 cm2

    P = 1 /3 x 36 x 10 = 120 cm3  

    Next, the volume of each cube:

    Volume of each cube (C) =side x side x side

    C = 2 x 2 x 2 = 8 cm2

    Finally we have to divide the volume of the pyramid (120) by the volume of each cube (8)

    120 / 8 = 15

    He will need 15 wax cubes.

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