Question

1. Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid with base sides of 9 cm and the height of the pyramid is 10 cm. Devin is using wax cubes with dimensions, 4 cm by 4 cm by 4 cm, to form the candle. How many whole wax cubes will Devin need to make the candle? Show your work.

Answer 1

The number of cubes that Devin will need to make will be given by:
(volume of each pyramid wax)/volume of cube
volume of cube=length*width*height
                        =4×4×4
                        =64 cm³
volume of the candle=1/3π*(base area)*h
=1/3×(9×9)×10
=270 cm³
number of cubes needed
270/64
=4.21875~4.23 cubes