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

Answer:

StartFraction 3 V Over h EndFraction units2

Step-by-step 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

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

Cross multiplying we have;

$3V = bH$

Dividing both sides by H we have;

$\frac{3V}{H} = \frac{bH}{H} \\b = \frac{3V}{H}units^{2}$

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

Answer 2

Answer:

A.

Step-by-step explanation: