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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

User Raugaral
by
8.2k points

1 Answer

3 votes

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=(lwh)/(3)

Substituting the values, we get;


82.8=(9* 4.6 * h)/(3)

Multiplying both sides by 3, we get;


248.4=41.4 * 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.

User Zuza
by
7.9k points

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