Question

Theodore has a candy jar that is shaped like a triangular prism. The triangular base has a base of 6 cm and a height of 4 cm. If the jar can hold 60 cm³ of candy, how tall is the jar?

Answer 1

Use the formula for the volume of a triangular prism:

$\sf V=\dfrac{1}{2}ach$

Where 'a' is the triangular base base, 'c' is the triangular base height, and 'h' is the height.

Plug in what we know:

$\sf 60=\dfrac{1}{2}(6)(4)h$

Simplify:

$\sf 60=12h$

Divide 12 to both sides:

$\sf h=\boxed{\sf 5}$