Question

which of the following is the number of pyramid/s that can be formed from a rectangular prism if they have same Base (B) and Height (H)

A.1
B.2
C.3
D.4​

Answer 1

Answer:

.c. 3 part of the options are correct answer

Answer 2

Given:

The pyramid & rectangular prism if they have the same Base (B) and Height (H).

To find:

The number of pyramids that can be formed from a rectangular prism n =?

Step-by-step explanation:

• We have to find that the number of pyramids formed from a rectangular prism if they have the same Base (B) and Height (H).

• Let n be the no of pyramids formed by a rectangular prism.

• The volume of the pyramid is

        V = $\frac{1}{3}$ BH.

• The volume of the rectangular prism is

       V = $\frac{1}{2}$ LB

• Where L is the length of the rectangular prism will be the height of a prism.

       i.e. L= H

• So the volume of the rectangular prism is V = $\frac{1}{2}$ BH

• Now, a pyramid is formed from the rectangular prism, then their volume will be same.

• Volume of a rectangular prism = n ×  volume of the pyramid

        V = $\frac{1}{3}$ BH = n × V = $\frac{1}{2}$ BH

        n = $\frac{2}{3}$

       n ≈ 1

The no of pyramids that can be formed from a rectangular prism is 1.

Correct option is A.