Contents
Volume – Maharashtra Board Class 6 Solutions for Mathematics (English Medium)
MathematicsGeneral ScienceMaharashtra Board Solutions
Exercise-88
Solution 1:
- Side (l) = 2 m
Volume of the cube = l3
= 23
= 2 × 2 × 2
= 8 cu. m
Side (l) = 5 m
Volume of the cube = l3
= 53
= 5 × 5 × 5
= 125 cu. m
Side (l) = 8 cm
Volume of the cube = l3
= 83
= 8 × 8 × 8
= 512 cu. cm
Side (l) = 4 cm
Volume of the cube = l3
= 43
= 4 × 4 × 4
= 64 cu. cm
Side (l) = 10 m
Volume of the cube = l3
= 103
= 10 × 10 × 10
= 1000 cu. cm
Solution 2:
Side of the room (l) = 4 m
Volume of the room = l3
= 43
= 4 × 4 × 4
= 64 cu. m
The volume of the room is 64 cu. m,
∴ The room can hold 64 cu. m of air.
Solution 3:
Exercise-89
Solution 1:
- Volume of a cuboid = Length× breadth × height
- Forty cubes just fit into a cuboid box. Each side of the cube is 1 cm. Hence, the volume of the box is 40 cc.
Solution 2:
Length of the box (l) = 5 cm
Breadth of the box (b) = 3 cm
Height of the box (h) = 1 cm
Volume of the matchbox = l × b × h
= 5 × 3 × 1
= 15 cu. cm
Thus, the volume of the matchbox is 15 cu. cm.
Solution 3:
Length of the water tank (l) = 5 m
Breadth of the water tank (b) = 3 m
Height of the water tank (h) = 1 m
Volume of the water tank = l × b × h
= 5 × 3 × 1
= 15 cu. m
Thus, the volume of the water tank is 15 cu. m
Solution 4:
Length of the ditch (l) = 5 m
Breadth of the ditch (b) = 2.5 m
Depth of the ditch (h) = 1.5 m (Depth is same as height)
Volume of the ditch = l × b × h
= 5 × 2.5 × 1.5
= 18.75 cu. m
Volume of soil taken out = Volume of the ditch
∴ Volume of soil taken out = 18.75 cu. m
Thus, 18.75 cu. m of soil will be taken out while digging the ditch.
Solution 5:
1 cubic metre = 1 metre × 1 metre × 1 metre
1 metre = 100 cm
∴ 1 cubic metre = (100 × 100 × 100) cubic centimetres
= 10,00,000 cubic centimetres1 cubic metre = 1 metre × 1 metre × 1 metre
Solution 6:
Length of the tank (l) = 2.5 m
Breadth of the tank (b) = 2 m
Height of the tank (h) = 3 m
Volume of the tank = l × b × h
= 2.5 × 2 × 3
= 15 cu. m
Volume of water which the tank can hold = Volume of the tank.
Thus, the volume of water which the tank can hold is 15 cu. m.
Solution 7:
Length of the storage bin (l) = 2 m
Breadth of the storage bin (b) = 1.2 m
Height of the storage bin (h) = 1.8 m
Volume of the storage bin = l × b × h
= 2 × 1.2 × 1.8
= 4.32 cu. m
Thus, the volume of the storage bin is 4.32 cu. m.
Solution 8: