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.

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.