A cuboid has dimensions 25 dm × 15 dm × 8 dm . How much does its volume differ from that of a cube with an edge of 16 dm ?

Given: Dimensions of cuboid = 25 dm × 15 dm × 8 dm We know that, volume of cuboid = L × B × H Volume of cuboid = 25 × 15 × 8 = 3000 dm Edge of a cube = 16 dm We have, volume of cube = Side 3 Volume of cube = ( 16 ) 3 = 4096 dm 3 Difeerence between volumes = Volume of cube - Volume of cuboid = 4096 - 3000 = 1096 dm 3 Therefore, difference between the volumes = 1096 dm 3

A cuboid has dimensions 25 dm × 15 dm × 8 dm . How much does its volume differ from that of a cube with an edge of 16 dm ?

Given: Dimensions of cuboid = 25 dm × 15 dm × 8 dm We know that, volume of cuboid = L × B × H Volume of cuboid = 25 × 15 × 8 = 3000 dm Edge of a cube = 16 dm We have, volume of cube = Side 3 Volume of cube = ( 16 ) 3 = 4096 dm 3 Difeerence between volumes = Volume of cube - Volume of cuboid = 4096 - 3000 = 1096 dm 3 Therefore, difference between the volumes = 1096 dm 3

The dimensions of a cistern are 2 m 75 cm × 1 m 90 cm × 1 m 40 cm . How many litres of water this cistern hold if we fill it till the top?

Given: Dimension of a cistern = 2 m 75 cm × 1 m 90 cm × 1 m 40 cm 2 m 75 cm = 2 . 75 m , 1 m 90 cm = 1 . 90 m , 1 m 40 cm = 1 . 40 m Volume of a cuboid = 2 . 75 × 1 . 90 × 1 . 40 = 7 . 315 m 3 = 7 . 315 m 3 = 7 . 315 × 1000 L = 7315 L Therefore, quantity of cistern is 7315 L

How many alarm clocks of size 5 cm × 10 cm × 10 cm can be a packed into a box of size 1 m × 1 2 m × 3 4 m ?

Given: Dimensions of clock = 5 cm × 10 cm × 10 cm Volume of Alarm clock = 5 × 10 × 10 = 500 cm 3 Dimensions of box = 1 m × 1 2 m × 3 4 m = 100 cm × 100 2 cm × 300 4 cm Volume of box = 100 × 100 2 × 300 4 = 0 . 375000 cm 3 Number of alarm clocks packed in box = 375000 500 = 750 Therefore, total number of clocks packed in box is 750

The outer dimensions of a jewellery box made of wood are 20 cm × 16 cm × 8 cm The thickness of the wood is 1 cm . Find the total cost of wood required to make the box, if 1 cm 3 of wood costs ₹ 2 . 50

Given: Outer dimensions of a jewellery box = 20 cm × 16 cm × 8 cm Outer volume of jewellery box = 12560 cm 3 Thickness of wood = 1 cm Length = 20 - 2 = 18 cm , Width = 16 - 2 = 14 cm , Height = 8 - 2 = 6 cm Inner volume of jewellery box = 18 cm × 14 cm × 6 cm = 1512 cm 3 Volume of wood = Outer volume of jewellery box - Inner volume of jewellery box = 2560 cm 3 - 1512 cm 3 = 1048 cm 3 Cost of wood required = Volume of wood × Cost of wood per cm 3 = 1048 × 2 . 50 ∵ 1 cm 3 = 2 . 5 ₹ = ₹ 2620 Therefore, cost of wood required is ₹ 2620

E M B I B E

START UP MATHEMATICS>Chapter 18 - Mensuration-II (Solid Figures)>EXERCISE 18.1>Q 6

MEDIUM

8th CBSE

IMPORTANT

Earn 100

A cuboid has dimensions $25 dm \times 15 dm \times 8 dm$ . How much does its volume differ from that of a cube with an edge of $16 dm$ ?

Important Questions on Mensuration-II (Solid Figures)

MEDIUM

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 18 - Mensuration-II (Solid Figures)>EXERCISE 18.1>Q 7

The dimensions of a cistern are

2 m 75 cm \times 1 m 90 cm \times 1 m 40 cm

. How many litres of water this cistern hold if we fill it till the top?

MEDIUM

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 18 - Mensuration-II (Solid Figures)>EXERCISE 18.1>Q 8

A volume of a cuboidal box is $250 {cm}^{3}$ . If its length is $20 cm$ and height is $5 cm$ , find its breadth .

MEDIUM

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 18 - Mensuration-II (Solid Figures)>EXERCISE 18.1>Q 9

How many cubes of edge

0.5 cm

are required to make a cube of side

3 cm

?

MEDIUM

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 18 - Mensuration-II (Solid Figures)>EXERCISE 18.1>Q 10

A cuboidal shape gold biscuit is of dimensions

8 cm \times 5 cm \times 2 cm

. From this gold biscuit, small lockets each of volume

2.5 {cm}^{3}

are made. How many such lockets can be made from this gold biscuit?

MEDIUM

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 18 - Mensuration-II (Solid Figures)>EXERCISE 18.1>Q 11

Two cubes are such that the length of the side of cube I is twice the length of the side of cube II. Find the ratio of the volume of cube I to that of cube II.

MEDIUM

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 18 - Mensuration-II (Solid Figures)>EXERCISE 18.1>Q 12

How many alarm clocks of size