The volume of pyramid A is the volume of pyramid B. If the height of pyramid B increases to twice that of pyramid A, the new volume of pyramid B is the volume of pyramid A.

Question

asked Dec 17, 2021 42.9k views

1 Answer

Mqp · Answer 1 · 2021-12-21T13:21:55+0000

Given :

Two pyramid with same volume .

To Find :

If the height of pyramid B increases to twice that of pyramid A, the new volume of pyramid B .

Solution :

V_a=V_b

Volume of pyramid is given by :

$V=\frac{\text{Area of base}* height}{3}\\\\V=(Ah)/(3)$

Now , h'=3h

$V'_b=(Ah')/(3)\\\\V'_b=3(Ah)/(3)\\\\V'_b=3V_a$

Therefore , new volume of pyramid B is 3 times the value of pyramid A .

Hence , this is the required solution .