Question

determine the volume of each rectangular or triangular pyramid round to the nearest tenth if necessary

Answer 1

Let's begin by listing out the information given to us:

base 1 = 12m, base 2 = 13m, height = 9 1/2m

The volume of a triangular pyramid is given by:

`\begin{gathered} v=(1)/(3)\cdot(1)/(2)Bh \\ B=b_1\cdot b_2=12\cdot13=156m^2,h=9(1)/(2)=(19)/(2)m \\ v=(1)/(3)\cdot(1)/(2)\cdot156\cdot(19)/(2)=247m^3 \\ v=247m^3 \end{gathered}`