Solve Area and Volume Problems Practice Test

A right triangular prism has a triangular base with legs of 5 cm and 12 cm, and the prism has a height of 8 cm. If the prism is cut by a plane parallel to its triangular base at a height of 3 cm from the bottom, what is the volume of the smaller piece?

A cardboard cutout is an irregular polygon that can be decomposed into a rectangle and two right triangles.

• Rectangle: $8\text{ cm} \times 4\text{ cm}$
• Two congruent right triangles: each has base $4\text{ cm}$ and height $3\text{ cm}$

What is the total area of the cutout?