EASY

9th CBSE

IMPORTANT

Earn 100

The areas of three adjacent faces of a cuboid are $x, y$ and $z$ . If the volume is $V$ , prove that $V^{2} = x y z$ .

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

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 18 - Surface Area and Volume of a Cuboid and Cube>EXERCISE>Q 22

A river

3 m

deep and

40 m

wide is flowing at the rate of

2 km

per hour. How much water will fall into the sea in a minute?

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9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 18 - Surface Area and Volume of a Cuboid and Cube>EXERCISE>Q 23

Water in a canal

30 dm

wide and

12 dm

deep, is flowing with a velocity of

100 km

per hour. If

8 cm

of standing water is desired, _____

m^{2}

area will it irrigate in

30

minutes.

EASY

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 18 - Surface Area and Volume of a Cuboid and Cube>EXERCISE>Q 24

Half cubic meter of gold-sheet is extended by hammering so as to cover an area of

1

hectare. Find the thickness of the gold-sheet.

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 18 - Surface Area and Volume of a Cuboid and Cube>EXERCISE>Q 25

How many cubic centimetres of iron are there in an open box whose external dimensions are

36 cm, 25 cm

and

16.5 cm

, the iron being

1.5 cm

thick throughout? If

1 cubic cm

of iron weighs

15 g

, find the weight of the empty box in

kg

EASY

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 18 - Surface Area and Volume of a Cuboid and Cube>EXERCISE>Q 26

A rectangular container, whose base is a square of side

5 cm

, stands on a horizontal table, and holds water up to

1 cm

from the top. When a cube is placed in the water it is completely submerged, the water rises to the top and

2 cubic cm

of water overflows. Calculate the volume of the cube and also the length of its edge.

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 18 - Surface Area and Volume of a Cuboid and Cube>EXERCISE>Q 27

A rectangular tank is

80 m

long and

25 m

broad. Water flows into it through a pipe whose cross-section is

25 {cm}^{2}

, at the rate of

16 km

per hour. If the level of the water rises by

k cm

in the tank in

45

minutes, then find the value of

k

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 18 - Surface Area and Volume of a Cuboid and Cube>EXERCISE>Q 28

Water in a rectangular reservoir having base

80 m

60 m

6.5 m

deep. In what time can the water be emptied by a pipe of which the-cross-section is a square of side

20 cm

, if the water runs through the pipe at the rate of

15 km / hr

EASY

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 18 - Surface Area and Volume of a Cuboid and Cube>VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)>Q 1

If two cubes each of side

6 cm

are joined face to face, then the volume of the resulting cuboid

=

_____

{cm}^{3}

The areas of three adjacent faces of a cuboid are x, y and z. If the volume is V, prove that V2=xyz.

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

Learn and Prepare for any exam you want !

The areas of three adjacent faces of a cuboid are $x, y$ and $z$ . If the volume is $V$ , prove that $V^{2} = x y z$ .