Question

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.

Answer 1

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 .