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

The correct option is B $\frac{1}{6}c{m}^3$

The base of the pyramid thus out 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 $\frac{1}{6}c{m}^3$.