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 = l^{3}

= 2^{3}

= 2 × 2 × 2

= 8 cu. m

Side (l) = 5 m

Volume of the cube = l^{3}

= 5^{3}

= 5 × 5 × 5

= 125 cu. m

Side (l) = 8 cm

Volume of the cube = l^{3}

= 8^{3}

= 8 × 8 × 8

= 512 cu. cm

Side (l) = 4 cm

Volume of the cube = l^{3}

= 4^{3}

= 4 × 4 × 4

= 64 cu. cm

Side (l) = 10 m

Volume of the cube = l^{3}

= 10^{3}

= 10 × 10 × 10

= 1000 cu. cm

**Solution 2:**

Side of the room (l) = 4 m

Volume of the room = l^{3}

= 4^{3}

= 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:**