Answer:
V = 10,240mm^3
Step-by-step explanation:
The volume of pyramid is given by the following formula:
[tex]V=\frac{1}{3}bh[/tex] (1)
b: base of the pyramid = (32mm)^2
h: height
Thus, it is necessary to find the value of h, by using the Pitagoras's theorem, one half of the base and the slant height (which forms a rectangle triangle with h):
[tex]h=\sqrt{(34)^2-(16)^2}=30mm[/tex]
by replacing in (1) you obtain:
[tex]V=\frac{1}{3}(32mm)^2(30mm)=10,240\ mm^3[/tex]
hence, the volume is 10240mm^3
