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=(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=(1)/(2)(6)(4)h`

Simplify:


`\sf 60=12h`

Divide 12 to both sides:


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