Question

congrVertex or Using thinYOa Name the aquadrilab.Name thethe orangal?SABCAA'B'C'ion? OflWhich pyramid has a volume of63 cubic inches?8 in.9 in.9 in.i7 in.FIG II13 in._[6 in.11H bothJ neither3.5 in.

Answer 1

The volume of a pyramid is calculated using the equation:

$V=\frac{1}{3}lwh$

For the first pyramid, l= 7 in, w = 3 in, and h = 8 in. So the volume would be:

$\begin{gathered} V=\frac{1}{3}(7)(3)(8) \\ \\ V=56\text{ cu. in.} \end{gathered}$

For the second pyramid, l = 6 in, w = 3.5 in, and h = 9 in. So the volume would be:

$\begin{gathered} V=\frac{1}{3}(6)(3.5)(9) \\ \\ V=63\text{ cu. in.} \end{gathered}$

Therefore, only II has a volume of 63 cubic inches. The answer is G.