Question

The given figure shows a solid formed using a solid cube of side 40 cm and a solid cylinder of radius 20cm and height 50 cm attached to the cube as shown.

What is the total surface area of the whole solid [Take $\pi =3.14$] (Answer to the nearest integer)

• A. 22533 $c{m}^3$
• B. 25233 $c{m}^3$
• C. 32533 $c{m}^3$
• D. 52333 $c{m}^3$

Answer 1

The correct option is A

22533 $c{m}^3$

The cylinder is placed on a cube in such a way that the curves touch the sides of the cube.

The radius of cylinder = r = 20 cm and height of cylinder = 50 cm.

The length of side of cube = 40 cm.

So, for finding TSA of the resulting figure, we have to add the TSA of the cube, TSA of the cylinder and subtract the area of the base because the base is placed over one face of the cube.

Now, the area left (which is shaded) is also to be added.

That shaded area =$a^2-\pi r^2$

So, net TSA is given as: