Plz
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 12 cm. to get the wax for the candle, devin melts cubes of wax that are each 3 cm by 3 cm by 3 cm. how many of the wax cubes will devin need in order to make the candle? show your work.

Step-by-step explanation:

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 (as shown in figure below)

also, To get the wax for the candle, Devin melts cubes of wax that are each 4 cm by 4 cm by 4 cm

We have to find the number of wax cubes will Devin need in order to make the candle.

Consider Wax cubes of dimension 4 cm by 4 cm by 4 cm

Volume of cube =  (side)³

Thus, Volume of one wax cube is given by = (side)³

Volume of one wax cube  = (4)³= 64 cm³

Now we find the volume of square pyramid.

Volume of square pyramid =

Thus,Volume of given square base with base side 9 cm and height 10 cm is

Area of square = (side)²

Volume of square pyramid =

Volume of square pyramid =

Volume of square pyramid =

thus, the volume of square pyramid is 270 cm³

(approx)

Thus, the number of wax cubes required is 4.21. Rounding it off to the nearest whole number, we will get 5.

Thus,the number of wax cubes required is 5.