Question

Please help me with this math problem

1. Josiah 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 12 in and the height of the pyramid is 14in. To get the wax for the candle, Josiah melts cubes of wax that are each 6 in by 6 in by 6 in. How many of the wax cubes will Josiah need in order to make the candle? Show your work.

Answer 1

10 wax cubes

Explanation:

the volume of the square pyramid can be found by using the following formula:


`V = (1)/(3) * B * h`

where b is the base of the pyramid and h is the height of the pyramid

The area of the base of the pyramid is given as 12 in * 12 in = 144 in^2

So, the volume of the pyramid is:

V = (1/3) * 144 in^2 * 14 in = 2,016 in^3

Each wax cube has a volume of 6 in * 6 in * 6 in = 216 in^3.

To find the number of wax cubes needed, we can divide the volume of the pyramid by the volume of each wax cube:

Number of wax cubes = Volume of pyramid / Volume of each wax cube

Number of wax cubes = 2,016 in^3 / 216 in^3

Number of wax cubes = 9.33 (rounded to two decimal places)

Since we can't have a fraction of a wax cube, Josiah will need to use 10 wax cubes to make the candle.