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This mock test of Test: Surface Area & Volumes- 2 for Class 9 helps you for every Class 9 entrance exam.
This contains 25 Multiple Choice Questions for Class 9 Test: Surface Area & Volumes- 2 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

The total surface area of a cube is 96 cm^{2 }. The volume of the cube is

Solution:

Surface area of a cube = 96 cm^{2}

Surface area of a cube = 6 (Side)^{2} = 96 ⇒ (Side)^{2} = 16

⇒ (Side) = 4 cm

[taking positive square root because side is always a positive quantity]

Volume of cube = (Side)^{3} = (4)3 = 64 cm^{3}

Hence, the volume of the cube is 64 cm^{3}.

QUESTION: 2

If the outer diameter of a pipe 21 m long is 1 m, then its curved surface area is

Solution:

QUESTION: 3

A cube of side 4 cm contains a sphere touching its sides. Find the approximate volume of the gap in between.

Solution:

Let ABCD be cube which contain sphere touching its sides.The diameter of sphere is the sides of the cube.

Now,

The volume of the gap in between cube and sphere

= volume of cube - volume of sphere

\

= 30.48 cm^{3}

QUESTION: 4

The cost of digging a pit of dimensions 4.5m×2.5m×2.5m at the rate of Rs 20 per cubic metre is

Solution:

QUESTION: 5

If the volume of a sphere is 4851 cm^{3}, then its surface area is

Solution:

QUESTION: 6

The lateral surface area of a cube is 256 m^{2} The volume of the cube is

Solution:

QUESTION: 7

The cost of cementing the inner curved surface of a 14 m deep well of radius 2 m at the rate of Rs 2 per m^{2} is

Solution:

Depth of well(h) = 14m

radius of well(r) = 2m

Inner surface area of well(like a cylinder) = 2πrh

surface area= 2 x 22/7 x 2 x 14 = 176 m^{2}

cost of cementing = ₹2 per m^{2}

Total Cost = 176 x 2 = ₹352

QUESTION: 8

The ratio of the radii of two spheres whose volumes are in the ratio 64 : 27 is

Solution:

QUESTION: 9

The volume of resulting cuboid formed when two cubes each of side 6 cm are joined end to end is

Solution:

QUESTION: 10

A hemispherical bowl is made of steel 0.25 cm thick. If the inner radius of the bowl is 3.25 cm, then the outer curved surface area of the bowl is

Solution:

QUESTION: 11

The difference between the total surface area of a cube of side 4 cm and its lateral surface area is

Solution:

QUESTION: 12

The diameter of the base of a cylinder of curved surface area 88 cm^{2} and height 14 cm is

Solution:

QUESTION: 13

Given that the surface area of a spherical shot put is 616 cm^{2}. its diameter is

Solution:

QUESTION: 14

The number of litres that a cuboidal water tank of dimensions 6m×5m×4.5m can hold is

Solution:

QUESTION: 15

If the surface area of a solid sphere is 1386 cm^{2}. then the total surface area of the solid hemisphere of the same radius is

Solution:

QUESTION: 16

The volume of a cube whose diagonal is 8√3 cm is

Solution:

QUESTION: 17

The total surface area of a right circular cylinder of height 4 cm and radius 3 cm is

Solution:

QUESTION: 18

If a spherical balloon grows to twice its radius when inflated, then the ratio of the volume of the inflated balloon to the original balloon is

Solution:

QUESTION: 19

The surface area of a cuboid whose length, breadth and height are 15 cm, 10 cm and 20 cm respectively is

Solution:

QUESTION: 20

The number of spherical bullets each 5 dm in diameter which can be cast from a rectangular block of lead 11 m long, 10 m broad and 5 high is

Solution:

QUESTION: 21

The number of planks of dimensions (5m×25cm×10cm) that can be placed in a pit which is 20 m long, 6 m wide and 80 cm deep is

Solution:

QUESTION: 22

If the lateral surface area of a cylinder is 132 cm^{2} and its height is 7 cm, then its base diameter is

Solution:

QUESTION: 23

If the total surface area of a hemisphere is 1848 cm^{2}, then the diameter is

Solution:

QUESTION: 24

The volume of a cylinder whose circumference of the base is 132 cm and height 25 cm is

Solution:

QUESTION: 25

The number of solid sphere each 6 cm in diameter, which can be moulded from a solid cylinder of height 45 cm and diameter 4 cm without any loss is

Solution:

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