Question

A pen stand made of wood is in the shape of a cuboid with four conical depressions and a cubical depression to hold the pens and pins, respectively. The dimensions of cubiod are 10 cm, 5 cm and 4 cm. The radius of each of the conical depressions is 0.5 cm and the depth is 2.1 cm. The edge of the cubical depression is 3 cm. Find the volume of the wood in the entire stand.

Answer 1

Given that, length of cuboid pen stand (l) = 10 cm

Breadth of cubiod pen stand (b) = 5 cm

and height of cuboid pen stand (h) = 4 cm

So, the required volume of the wood in the entire stand is 170.8 cm³.