Q:

A pencil holder shaped like a triangular prism the height of the pencil is 12cm and the volume is 216cm what is the area of the base in square centimeters

Accepted Solution

A:
Given that Volume of triangular prism = 216 cubic centimetreGiven that Height of the pencil = 12 centimetreNow we have to find the area of the base of the prism means find the area of triangular part.
Volume of triangular prism is given by formula:Volume of triangular prism = (Area of base) x (Height of the prism)
now plug the given values216= (Area of the base) x 12[tex] \frac{216}{12}= [/tex] Area of the base18= Area of the base
Hence final answer is 18 square centimetres.