CBSE Class 8 Mathematics Mensuration Assignment Set 04

Question. Three cubes of iron with sides 3 cm, 4 cm and 5 cm are melted to form a new cube.
What is the side of the new cube?
Answer : 6 cm

Question. Two cylinder have sam e base radiu s r. If their heights are 5 cm and 15 cm. What is the ratio of their volumes?
Answer : 1:3

Question. If base radius of a cylinder is doubled then the volume of new cylinder = ______ times the volume of given cylinder.
Answer : 4

Question. Capacity of cylindrical tank is 1 m³. How much litre water it can contain?
Answer : 1000 litre

Question. A small cube of side 4 cm is placed in a cube of side 5cm. Find the volume of the air in between the two cubes.
Answer : 61 cm³

Question. Find the side of a cube whose total surface area is 600 cm².
Answer : 10 cm

Question. If the volume of a right circular cylinder, 3 cm high is 462 cm³. What is the radius of the base of cylinder?
Answer : 7 cm

Question. Find the volume of cube whose side is 0.4 cm.
Answer : 0.064 cm³

Question. What is the area of triangle whose base is 36 cm and height is 7 cm?
Answer : 126 cm²

Question. Lateral surface area of a cube is 100m². What is the length of its edge?
Answer : 5 m

Question. If the edges of a room are in the ratio 3:2:1 and its total surface area is 198 m². What is the length of the room?
Answer : 9 m

Question. The sides of a room are in the ratio 5:3:2. If the volume of the room is 3750 cubic meters. Find the length of the room.
Answer : 25 m

Question. The area of rhombus is 120 cm² and one diagonal is 5 cm. Find the length of other diagonal.
Answer : 48 cm

Questions carrying 1 Mark each :-

Q.1 Write the formula to find the area of a parallelogram.

Q.2 Find the lateral surface area of a cube of edge a cm.

Q.3 1 Litre = _______ 1 ³ .

Question carrying 2 marks each:-

Q.4 The parallel sides of a trapezium are 12 m. and 8 m. and the distance between them is 6m. Find the area of the trapizium.

Q.5 A cuboidal wooden block contains 144 cu cm. of wood. If it is 6 cm. long and 3 cm. wide, find its height.

Q.6 The height of a cylinder is 15 cm. and curved surface area is 660 ÿ 0 ² . Find the radius of the cylinder.

Q.7 The total surface area of a cube is 96m2. Find its volume.

Q.8 The diagonals of a rhombus are of length 16 cm. and 30 cm. Find its area.

Questions carrying 3 marks each:-

Q.9 Find the area of the quadrilateral shown in figure:

Q.10 The area of a trapezium is 0² and the distance between the parallel sides is ÿÿ. Find the length of the parallel sides if they are in the ratio 3:4.

Q.11 Three cubes, each of edge 2 cm. long are placed together. Find the total surface area of the cuboid so formed.

Q.12 The rainfall on a certain day was 12 cm. How many liters of water fell on 3 hectares of land on that day?

Q.13 The daimeter of a road roller, 1m40cm long is 80cm. If it takes 600 revolutions to level a playground, find the cost of levelling the ground at Rs. 3 perm2.

Questions carrying 6 marks each:

Q.14 A rectangular sheet of aluminium foil is 44 cm. long and 20 cm. wide. A cylinder is made out of it, by rolling the foil along width. Find the volume of the cylinder.

Q.15 The perimeter of the floor of a hall is 250 m. If the height is 4 m, find the cost of painting the four walls at the rate of Rs. 12 per square meter.

Q.16 BY how many times do the volume and surface area of a cube increase if its edges get doubled.

Multiple choice Questions carrying 1 marks each:-

Q.17 If the edges of a cube are halved, then its volume become:
(a) 4 times
(b) 8 times
(c) 1/8 times
(d) 0/2 times

Q.18 The lateral surface area of a cylinder is
(a) 2 ²h
(b) ππrh
(c) 222(2)h) 
(d) none of these.

Questions carrying 1 Mark each :-

Q.1 Write the formula to find the area of a parallelogram.

Q.2 Find the lateral surface area of a cube of edge a cm.

Q.3 1 Litre = _______ 1 ³

Question carrying 2 marks each:-

Q.4 The parallel sides of a trapezium are 12 m. and 8 m. and the distance between them is 6m. Find the area of the trapizium.

Q.5 A cuboidal wooden block contains 144 cu cm. of wood. If it is 6 cm. long and 3 cm. wide, find its height.

Q.6 The height of a cylinder is 15 cm. and curved surface area is 660 0 ² . Find the radius of the cylinder.

Q.7 The total surface area of a cube is 96m2. Find its volume.

Q.8 The diagonals of a rhombus are of length 16 cm. and 30 cm. Find its area.

Questions carrying 3 marks each:-

Q.9 Find the area of the quadrilateral shown in figure:

Q.10 The area of a trapezium is 0² and the distance between the parallel sides is ÿÿ. Find the length of the parallel sides if they are in the ratio 3:4.

Q.11 Three cubes, each of edge 2 cm. long are placed together. Find the total surface area of the cuboid so formed.

Q.12 The rainfall on a certain day was 12 cm. How many liters of water fell on 3 hectares of land on that day?

Q.13 The daimeter of a road roller, 1m40cm long is 80cm. If it takes 600 revolutions to level a playground, find the cost of levelling the ground at Rs. 3 perm2.

Questions carrying 6 marks each:

Q.14 A rectangular sheet of aluminium foil is 44 cm. long and 20 cm. wide. A cylinder is made out of it, by rolling the foil along width. Find the volume of the cylinder.

Q.15 The perimeter of the floor of a hall is 250 m. If the height is 4 m, find the cost of painting the four walls at the rate of Rs. 12 per square meter.

Q.16 BY how many times do the volume and surface area of a cube increase if its edges get doubled.

Multiple choice Questions carrying 1 marks each:-

Q.17 If the edges of a cube are halved, then its volume become:
(a) 4 times
(b) 8 times
(c) 1/8 times
(d) 0/2 times

Q.18 The lateral surface area of a cylinder is
(a) 2 ²h
(b) ππrh
(c) 222(2)h) 
(d) none of these.