MENSURATION PRACTICE SHEET
Page 1
1) The volume of a cuboid is 608 cm
3
2) What is the area of a rectangular cardboard, required to make a box of length 16 cm, breadth
14 cm and height 9 cm? (988 cm
. The area of its base is 76 sq.cm. Find its height.
(8 cm)
2
3) Find the volume, the lateral surface area and the total surface area of a cube each of whose
sides measures 4.75 cm. (135.375 cm
)
2
4) The length of the longest rod which can be kept inside a rectangular box is 27 cm. If the length
and breadth of the box are 23 cm and 10 cm respectively, find its height. [Hint: Length of the
longest rod = length of the diagonal = l
2
+b
2
+ h
2
]. (8 cm)
)
5) The three sides of a cuboid are 48 cm, 37.5 cm and 15 cm. Find the side of the cube, whose
volume is equal to the volume of the cuboid. (30 cm)
6) A wall 15 m long, 30 cm wide and 4 m high is made of bricks each measuring 22 cm 12.5 cm
7.5 cm. If
1
12
of the total volume of the wall consists of mortar, how many bricks are there in the
wall? (8000)
7) The volume of a cube is numerically equal to its surface area. Find the length of its side.
(6 units)
8) The ratio of length, breadth and height of a cuboid is 3:2:1. If the length is increased by 200%,
breadth 200%, height by 100%, then find the change in its volume. (18
times)
9) If V denotes the volume of a cube and T its surface area, show that V=
36
6.
10) If the length of each side of a cube is doubled, how many times will the cube increase (i) in
volume () in surface area? (8 times, 24 times)
11) A cube is cut into two cuboids of equal volume. Find the ratio between the total surface area of
the given cube and that of one of the cuboids. (3:2)
12) 500 men can dip in a tank which is 80 m long and 50 m broad. What is the rise in the water
level, if the average displacement of water by a man is 4 m
3
13) Each side of a cube is increased by 60%. Find the percentage of increase in the surface area of
the cube. (156%)
? (50 cm)
14) The volume of a cube is numerically equal to the sum of its edges. What is its total surface area
in square units. (72 units)
15) The circumference of the base of a cylinder is 35.2 cm and its height is 15 cm. Find the volume
and the curved surface area of a cylinder. (704 cm
2
16) Two cylindrical cans have bases of the same size. The diameter of each is 7 cm. One of the cans
is 15 cm high and the other is 20 cm high. Find the ratio of their volumes.
(3:16)
)
17) A rectangular piece of paper 22 cm long and 12 cm broad is rolled along its length to form a
cylinder. Find the volume of the cylinder so formed. (462 cm
3
18) A powder is available in two packs, a tin can with a square base of each side 5 cm and having
height 14 cm and the other with a circular base of radius 3.5 cm and having height 12 cm. Which
of them has greater capacity and by how much? (112 cm
)
3
19) The height of a right cylinder is 6 m. Three times the sum of the areas of its two circular faces is
twice the area of its curved surface. Find the radius of its base. (4 m)
)
