Answer:
8 cubic meters
Step-by-step explanation:
Formula for the volume of a rectangular pyramid:
[tex]V=\frac{lwh}{3}[/tex]
Take note
[tex]l=[/tex] base length
[tex]w=[/tex] base width
[tex]h=[/tex] pyramid height
We are given [tex]l[/tex], [tex]w[/tex], and [tex]h[/tex].
Lets solve for [tex]V[/tex]
[tex]l=3[/tex]
[tex]w=2[/tex]
[tex]h=4[/tex]
Now plug in our numbers into the formula:
[tex]V=\frac{3*2*4}{3}[/tex]
Evaluate the numerator
[tex]3*2*4=24[/tex]
Then we have
[tex]V=\frac{24}{3}[/tex]
Simplify and we get:
[tex]V=8[/tex]