Given:
Given that the base of a pyramid is a rectangle with a width of 4.6 cm and a length of 9 cm.
The volume of the pyramid is 82.8 cubic cm.
We need to determine the height of the pyramid.
Height of the pyramid:
The height of the pyramid can be determined using the formula,
[tex]V=\frac{lwh}{3}[/tex]
Substituting the values, we get;
[tex]82.8=\frac{9\times 4.6 \times h}{3}[/tex]
Multiplying both sides by 3, we get;
[tex]248.4=41.4 \times h[/tex]
Dividing both sides by 41.4, we have;
[tex]6=h[/tex]
Thus, the height of the rectangular pyramid is 6 cm.
Hence, Option A is the correct answer.
