Question

I need to know what numbers to use to find the volume. Can you answer this one as an example, then I can solve the rest.

Answer 1

The volume of a triangular pyramid is given by

`V=(1)/(3)* A* H`

where H is the heigh of the pyramid and A is the base of the triangular base. In our case,

`H=14mm`

and the base area is

`\begin{gathered} A=(1)/(2)base*\text{height} \\ A=(1)/(2)11*10.6mm \\ A=58.3mm^2 \end{gathered}`

where

Then, by substituting our last result into the volume formula, we have

`\begin{gathered} V=(1)/(3)* A* H \\ V=(1)/(3)*58.3*14 \end{gathered}`

which gives

`V=272.0666mm^3`

Therefore, by rounding to the nearest thousandth, the answer is: 272.067 cubic milimeters