GSEB Solutions for Class 7 Mathematics – Volume (English Medium)
GSEB SolutionsMathsScience
Exercise
Solution 1:
- 1 kilolitre = 1000 litre
- 1000 cu cm = 1000 mililitre
1 cu cm = 1 ml
1000 cu cm = 1 × 1000 mililitre - 1 cu m = 1000 litre
1 cu m = 100 × 100 × 100 = 10,00,000 ml
10,00,000 ml = 1000 litre …(1000 ml = 1 litre) - 1 cu cm = 1 mililitre
- 1 litre = 1000 cu cm
1 litre = 1000 ml
1 ml = 1 cu cm
1000 ml = 1000 cu cm - 4 cu m = 40,00,000 cu cm
1 cu m = 10,00,000 cu cm
4 cu m = 40,00,000 cu cm - 8 litre = 8,000 cu cm
1 litre = 1000 cu cm
8 litre = 8000 cu cm - 1 cu m = 1 kilolitre
1 cu m = 10,00,000 ml …(1 cu cm = 1 ml)
1 cu m = 1000 litre …(1000 ml = 1 litre)
1 cu m = 1 kilolitre …(1000 litre = 1 kilolitre) - Formula to find volume of a cube is l3
- Formula to find volume of cuboid is l × b × h
Solution 2:
Solution 3:
Given :
Length of the cuboidal tank = 20 m
Breadth of the cuboidal tank = 15 m
Height of the cuboidal tank = 2 m
Volume of a cuboid = l × b × h
∴ Volume of the cuboidal tank = (20 × 15 × 2) m3
= 600 m3
Thus, the volume of a cuboidal tank is 600 m3.
*The question has been rectified.
Solution 4:
Given:
Length of the cuboidal cement block = 30 cm
Breadth of the cuboidal cement block = 23 cm
Height of the cuboidal cement block = 12 cm
Volume of a cuboid = l × b × h
∴ Volume of the cuboidal cement block = (30 × 23 × 12) cm3
= 8280 cm3
Thus, the volume of the cuboidal cement block is 8280 cm3.
*The question has been rectified.
Solution 5:
Given:
Length of the cuboidal salt-pan = 30 m
Breadth of the cuboidal salt-pan = 10 m
Height (depth) of the cuboidal salt-pan = 10 cm = 0.10 m
Volume of a cuboid = l × b × h
∴ Volume of cuboidal salt-pan = (30 × 10 × 0.10) m3
= 30 m3
Thus, the volume of the cuboidal salt-pan is 30 m3.
To find the capacity of tank, convert the volume of the tank (30 m3) into litres.
Volume of 1 m3 = 1000 litres
∴ 30 m3 = (30 × 1000) = 30,000 litres.
Hence, 30,000 litres of sea water can be contained in the salt-pan.
Solution 6:
Given:
Length of the cubical tank = 3 m
Volume of a cube = l3
∴ Volume of cubical tank = (3 × 3 × 3) m3
= 27 m3
Hence, Volume of the cubical tank is 27 m3
To find the capacity of tank, convert the volume of the tank, 27 m3 into litres.
Volume of 1 m3 = 1000 litres
∴ 27 m3 = (27 × 1000) = 27,000 litres.
Hence, 27,000 litres of water can be stored in the tank.
Solution 7:
Solution 8:
Solution 9:
Practice – 1
Solution 1:
Let ‘l’ be the length of the cube.
Volume of a cube = length × length × length = l3
∴ Volume of a cube of length 20 cm
= (20 × 20 × 20) cm3
= 8000 cm3
Hence, the volume of the cube is 8000 cm3.
Solution 2:
The box is cuboid in shape.
Let ‘l’ be the length, ‘b’ be the breadth and ‘h’ be the height of the cuboid.
Volume of a cuboid = l × b × h
∴ Volume of the cuboid with dimensions 2 metre × 3 metre × 1 metre
= (2m × 3m× 1m)
= 6 m3
Hence, the volume of the cuboidal box is 6 m3.
Solution 3:
Let ‘l’ be the length of the cube.
Volume of a cube = length × length × length = l3
∴ Volume of a cube of length 12 cm
= (12 × 12 × 12) cm3
= 1728 cm3
Hence, the volume of the given cube is 1728 cm3.
Solution 4:
Let ‘l’ be the length, ‘b’ be the breadth and ‘h’ be the height of the cuboid.
Volume of a cuboid = l × b × h
∴ Volume of given cuboid
= (10 × 8 × 6) m3
= 480 m3
Hence, the volume of the cuboid is 480 m3.
*The question has been rectified.
Solution 5:
Let ‘l’ be the length of the cube.
Volume of a cube = length × length × length = l3
∴ Volume of a cubic stone of length 40 cm
= (40 × 40 × 40) cm3
= 64000 cm3
Hence, the volume of the cube is 64,000 cm3.
Solution 6:
Volume of a cuboid = l × b × h
∴ Volume of the cuboidal brick of length 24 cm, breadth 10 cm and height 8 cm
= (24 × 10 × 8) cm3
= 1920 cm3
Hence, the volume of the brick is 1920 cm3.
Solution 7:
Volume of a cuboid = l × b × h
∴ Volume of a cuboidal compass box of length 16 cm, breadth 4 cm and height 2 cm
= (16 × 4 × 2) cm3
= 128 cm3
Hence, the volume of the compass box is 128 cm3.
Solution 8:
Volume of a cuboid = l × b × h
∴ Volume of a cuboidal tank of length 3 m, breadth 2 m and height 6 m
= (3 × 2 × 6) m3
= 36 m3
Hence, the volume of the tank is 36 m3.
Practice – 2
Solution 1:
Solution 2:
Solution 3:
Volume of a cuboid = l × b × h
∴ Volume of the cuboidal tank = 3 m × 2 m × 2 m = 12 m3
To find the capacity of the tank, convert the volume of the tank 12 m3 into litres.
Now, 1 m3 = 1000 litres
∴ 12 m3 = (12 × 1000) = 12,000 litres.
Hence, 12,000 litres of water can be stored in the tank.
Solution 4:
Solution 5: