Question

The volume of an oblique pyramid with a square base is V units3 and the height is h units.

An oblique pyramid with a square base has a volume of V units cubed and a height of h units.

Which expression represents the area of the base of the pyramid?

StartFraction 3 V Over h EndFraction units2
(3V – h) units2
(V – 3h) units2
StartFraction V Over 3 h EndFraction units2

Answer 1

A.

Explanation:

Answer 2

StartFraction 3 V Over h EndFraction units2

Explanation:

volume of an oblique square pyramid V = 1/3 * b * H where;

b is the base area of the pyramid

H is the height of the pyramid

To determine the expression that represents area of the base of the pyramid, we will make the variable 'b' the subject of the formula from

V = 1/3 bH

`V=(bH)/(3)`

Cross multiplying we have;

`3V = bH\\`

Dividing both sides by H we have;

`(3V)/(H) = (bH)/(H) \\b = (3V)/(H)units^(2)`

This gives the correct expression for the base area of the pyramid