Mathematics Class 9>Chapter 18 - Surface Area and Volume of a Cuboid and Cube>EXERCISE>Q 4

EASY

9th CBSE

IMPORTANT

Earn 100

If the areas of three adjacent faces of a cuboid are $8 {cm}^{2}, 18 {cm}^{2}$ and $25 {cm}^{2}$ . The volume of the cuboid $=$ _____ ${cm}^{3}$ .

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Important Questions on Surface Area and Volume of a Cuboid and Cube

EASY

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 18 - Surface Area and Volume of a Cuboid and Cube>EXERCISE>Q 5

The breadth of a room is twice its height, one half of its length and the volume of the room is

512 cu . dm

. Find its dimensions.

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 18 - Surface Area and Volume of a Cuboid and Cube>EXERCISE>Q 6

Three metal cubes with edges

6 cm, 8 cm

and

10 cm

respectively are melted together and formed into a single cube. Find the volume, surface area and diagonal of the new cube.

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 18 - Surface Area and Volume of a Cuboid and Cube>EXERCISE>Q 7

Two cubes, each of volume

512 {cm}^{3}

are joined end to end. If the surface area of the resulting cuboid is

k {cm}^{2}

, find

k

.

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 18 - Surface Area and Volume of a Cuboid and Cube>EXERCISE>Q 8

A metal cube of edge

12 cm

is melted and formed into three smaller cubes. If the edges of the two smaller cubes are

6 cm

and

8 cm

, find the edge of the third smaller cube.

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 18 - Surface Area and Volume of a Cuboid and Cube>EXERCISE>Q 9

The dimensions of a cinema hall are

100 m, 50 m

and

18 m

. How many persons can sit in the hall, if each person requires

150 m^{3}

of air?

EASY

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 18 - Surface Area and Volume of a Cuboid and Cube>EXERCISE>Q 10

Given that

1

cubic

cm

of marble weighs

0.25 kg

, the weight of marble block

28 cm

in width and

5 cm

thick is

112 kg

. Find the length of the block.

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 18 - Surface Area and Volume of a Cuboid and Cube>EXERCISE>Q 11

A box with lid is made of

2 cm

thick wood. Its external length, breadth and height are

25 cm, 18 cm

and

15 cm

respectively. How much cubic

cm

of a liquid can be placed in it? Also, find the volume of the wood used in it.

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 18 - Surface Area and Volume of a Cuboid and Cube>EXERCISE>Q 12

The external dimensions of a closed wooden box are

48 cm, 36 cm, 30 cm

. The box is made of

1.5 cm

thick wood. How many bricks of size

6 cm \times 3 cm \times 0.75 cm

can be put in this box?