area and volume of a cuboid formed when three cubes with 2 cm edge are joined
end to end
3.
4
8
The dimensions of an oil tin are 15 cm x 8 cm * 25 cm Find the area of the tin sheet required for
making 40 tins. If 1 sq m of tin costs * 15, find the cost of tin used for these 40 lins.
The perimeter of one face of a cube is 32 cm Find its total surface area
5. Find the maximum number of cubes of side 3 cm that can be placed inside a cuboid of dimensions
18 cm * 12 cm x 9 cm.
6. Find the volume of metal required to make a closed box of thickness 1 cm with external measurements
12 cm x 7 cm x 10 cm.
7. A water tank has a capacity to hold 5000 I of water. If the base of the tank has dimensions
5 mx 2 m find its height.
Find the volume of a cube, if its lateral surface area is 100 sq cm
9. The length of a cuboid is one more than its breadth and the perimeter of its base is 18 cm. If its
lateral surface area is 54 sq. cm, find the volume of the cuboid.
10. Find the number of bricks, each of dimensions 12 cm 5 cm x 7 cm, required to construct a wall
6 m long, 2.8 m high and 15 cm thick.
11. A metal cube of side 12 cm is melted and a cuboid of base 18 cm by 16 cm is formed. Find the height
of the cuboid
12. A pit 4 m long 4 m wide and 28 m deep is dug from a comer of a rectangular ground with
dimensions 20 m by 12 m. If the earth taken out is spread evenly over the remaining area of the
ground, find the rise in the level of the ground
13. How many wooden cubic blocks, each of side 2 cm, should be arranged to form a cuboid with
dimensions 10 cm x 8 cm x 40 cm.
14. The curved surface area of a cylinder with radius 3 cm is 132 sq cm. Find its height (x = )
15. Find the curved surface area of a cylinder with radius 4 cm and height 5 cm. (n = 3.14)
16. A cylindrical well is of height 3.5 feet above the ground, the level of water is 7 feet below the ground
level. If the volume of water in the well is half the volume of the capacity of the well, find the total
height of the well.
17. Find the volume of metal used in a solid cylinder of length 14 cm and diameter 10 cm.
18. Find the time required to fill a cylindrical water tank of radius 2 m and height 7 m through a pipe at
22
the rate of 11 litres per min.
(+= 2
19. A metallic cylinder of diameter 14 cm and height 49 cm is melted and cast into cubes with side
22
=
7
20. A rectangular sheet of paper of length 35 cm and breadth 28 cm is folded in two ways to form.
a cylinder. Find the difference in the volumes of cylinders formed. (=
n )
We
Answers
area and volume of a cuboid formed when three cubes with 2 cm edge are joined
end to end
3.
4
8
The dimensions of an oil tin are 15 cm x 8 cm * 25 cm Find the area of the tin sheet required for
making 40 tins. If 1 sq m of tin costs * 15, find the cost of tin used for these 40 lins.
The perimeter of one face of a cube is 32 cm Find its total surface area
5. Find the maximum number of cubes of side 3 cm that can be placed inside a cuboid of dimensions
18 cm * 12 cm x 9 cm.
6. Find the volume of metal required to make a closed box of thickness 1 cm with external measurements
12 cm x 7 cm x 10 cm.
7. A water tank has a capacity to hold 5000 I of water. If the base of the tank has dimensions
5 mx 2 m find its height.
Find the volume of a cube, if its lateral surface area is 100 sq cm
9. The length of a cuboid is one more than its breadth and the perimeter of its base is 18 cm. If its
lateral surface area is 54 sq. cm, find the volume of the cuboid.
10. Find the number of bricks, each of dimensions 12 cm 5 cm x 7 cm, required to construct a wall
6 m long, 2.8 m high and 15 cm thick.
11. A metal cube of side 12 cm is melted and a cuboid of base 18 cm by 16 cm is formed. Find the height
of the cuboid
12. A pit 4 m long 4 m wide and 28 m deep is dug from a comer of a rectangular ground with
dimensions 20 m by 12 m. If the earth taken out is spread evenly over the remaining area of the
ground, find the rise in the level of the ground
13. How many wooden cubic blocks, each of side 2 cm, should be arranged to form a cuboid with
dimensions 10 cm x 8 cm x 40 cm.
14. The curved surface area of a cylinder with radius 3 cm is 132 sq cm. Find its height (x = )
15. Find the curved surface area of a cylinder with radius 4 cm and height 5 cm. (n = 3.14)
16. A cylindrical well is of height 3.5 feet above the ground, the level of water is 7 feet below the ground
level. If the volume of water in the well is half the volume of the capacity of the well, find the total
height of the well.
17. Find the volume of metal used in a solid cylinder of length 14 cm and diameter 10 cm.
18. Find the time required to fill a cylindrical water tank of radius 2 m and height 7 m through a pipe at
22
the rate of 11 litres per min.
(+= 2
19. A metallic cylinder of diameter 14 cm and height 49 cm is melted and cast into cubes with side
22
=
7
20. A rectangular sheet of paper of length 35 cm and breadth 28 cm is folded in two ways to form.
a cylinder. Find the difference in the volumes of cylinders formed. (=
n )
We