Question

The corner of a cube has been cut by the plane passing through mid point of the three edges meeting at that corner. If the edge of the cube is of $2$ cm length, then the volume of the pyramid thus cut off is

• A. $\frac{1}{24}c{m}^3$
• B. $\frac{1}{6}c{m}^3$
• C. $\frac{1}{48}c{m}^3$
• D. $6c{m}^3$

Answer 1

Answer: (B)

$\frac{1}{6}c{m}^3$

The base of the pyramid thus cut off will be a right angled triangle whose sides containing the right angle will be each equal to $1$ cm.

The height of the pyramid will also be equal to $1$ cm.

Hence, the volume will be equal to $\frac{1}{6}{cm}^3$

Hence, option B is correct.