Question

The base of pyramid A is a rectangle with a length of 10 meters and a width of 20 meters. The base of pyramid B is a square with 10-meter sides.

The heights of the pyramids are the same.
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 Bis
the volume of pyramid A

Answer 1

Volume of pyramid A is twice the volume of pyramid B.

If the height of pyramid B increases to twice that of pyramid A, it's volume will be equal to the volume of pyramid A.

Explanation:

Let, the initial height of each pyramids be h metre

Base area of pyramid A =
`10 * 20` sq. metre

= 200 sq. metre

Base area of pyramid B =
`(10^(2))` sq. metre

= 100 sq. metre

we know that volume of a pyramid

=
`(base area *  height)/(3)` -------------(1)

So, from (1)

volume of pyramid A =
`(200 * h)/(3)` cubic metre -----(2)

volume of pyramid B =
`(100 * h)/(3)` cubic metre -----(3)

So,

volume of pyramid A is twice the volume of pyramid B.

If the height of pyramid B increases to twice that of pyramid A, it's volume will be equal to the volume of pyramid A.