CMAT Mensuration Practice Questions With Solutions

A roller is 4m long and has a diameter of 0.7m. It takes exactly 2000 rotations of the roller to level a road. If the cost of using the roller is Rs.4 per square metres, then the total cost of levelling the roadis :
Assume, $\pi=\frac{22}{7}$

The dimensions of a floor are $18\times24$. What is the smallest number of identical square tiles that pave the entire floor without the need to break any tile?

What is the farthest distance between two points on a cylinder of: HEIGHT 8 and RADIUS 8 ?

In a building there are 30 cylindrical pillars. The radius of each pillar is 35 cm and height is 5 m. Find out the cost of painting the curved surface of half the number of pillars. The rate of painting is Rs. 10 per $m^2$.

The length, breadth and height of a rectangular cuboid are in the ratio 1: 2 : 3. If the length, breadth and height are increased by 100% each then what would be the increase in the volume of the cuboid ?

It costs Rs. 6000/- and Rs. 6,100- respectively to paint the 4 walls of 2 square halls, of the same height. If the length of one hall exceeds the length of the other by 1 m and the cost of painting is Rs. 5 per sq.m., what is the height of the two walls ?

A rectangular box of width(a), length(b), and height(c) has a solid cylinder of height 'c' and of diameter 'a' placed within it. If a= 6, b =8 and c =10, how much volume is left in the rectangular box ?

Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed.

How many iron balls, each of radius 1 cm, can be made from a sphere whose radius is 8 cm?

The length of the minute of a watch is 42 mm. The area swept by it in 30 minutes (in $mm^2$) by taking π as 3.14 is:-