Question

A candy is shaped like a

triangular pyramid. The height of
the candy is 12 mm, and the
volume of the candy is 204 mm³.
What is the area of the base of
the candy?

Answer 1

Explanation:

Since the candy is in the shape of a triangular pyramid, we can use the formula for the volume of a pyramid:

Volume of pyramid = (1/3) x base area x height

We know the height of the candy is 12 mm, and the volume of the candy is 204 mm³. So we can rearrange the formula to solve for the base area:

base area = (3 x Volume of pyramid) / (height)

base area = (3 x 204 mm³) / (12 mm)

base area = 51 mm²

Therefore, the area of the base of the candy is 51 mm².