Volume – Maharashtra Board Class 6 Solutions for Mathematics

Volume – Maharashtra Board Class 6 Solutions for Mathematics (English Medium)

MathematicsGeneral ScienceMaharashtra Board Solutions

Exercise-88

Solution 1:

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:

1. Volume of a cuboid = Length× breadth × height
2. 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: