Answer:
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.