Question

The base of a pyramid is a rectangle with a width of 4.6 cm and a length of 9 cm. What is the height, in centimeters, of the pyramid if its volume is 82.8 cubic cm?
A. 6 cm
B. 2 cm
C. 9 cm
D. 18 cm

Answer 1

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,

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

Substituting the values, we get;

$82.8=\frac{9\times 4.6 \times h}{3}$

Multiplying both sides by 3, we get;

$248.4=41.4 \times h$

Dividing both sides by 41.4, we have;

$6=h$

Thus, the height of the rectangular pyramid is 6 cm.

Hence, Option A is the correct answer.