Question

The volume of an oblique pyramid with a square base is V units3 and the height is h units.Which expression represents the area of the base of the pyramid?
a) 3 v/h unils^2
b) (3 v - h)unils^2
c) (v - 3 h)unils^2
d) v/3h unils^2

Answer 1

Answer: a) $\dfrac{3V}{h}\ units^2$

Step-by-step explanation:

We know that the volume of an oblique pyramid is given by :-

$\text{Volume}=\dfrac{1}{3}\text{(Base Area x height) }$

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

Then, we have

$V=\dfrac{1}{3}\text{(Base Area x h) }$

Multiply 3 on both sides , we get

$3V=\text{(Base Area x h) }$

Divide both sides by h , we get

$\dfrac{3V}{h}=\text{Base Area }$

i.e. $\text{Base Area }=\dfrac{3V}{h}\ units^2$

Hence, the expression represents the area of the base of the pyramid = $\dfrac{3V}{h}\ units^2$

Hence, the correct answer is a) 3 v/h units^2

Answer 2

Answer:

A on edge 2020

Step-by-step explanation: