2012 CEMC Gauss (Grade 7) Problems/Problem 21

Problem

A triangular prism has a volume of \text{(A)}\ 12 \qquad \text{(B)}\ 20 \qquad \text{(C)}\ 10 \qquad \text{(D)}\ 16 \qquad \text{(E)}\ 8 $==Solution== The volume of the triangular prism will be the area of the base multiplied by its height.

Let$ (Error compiling LaTeX. Unknown error_msg)AhA = \frac{3 cm * 4 cm}{2} = 6 cm^2$$ (Error compiling LaTeX. Unknown error_msg)A * h = V$$ (Error compiling LaTeX. Unknown error_msg)6 cm^2 * h = 120 cm^3$$ (Error compiling LaTeX. Unknown error_msg)h = \frac{120 cm^3}{6 cm^2} = 20 cm\boxed {\textbf {(B) } 20}$.