Class 9 Maths: Surface Areas & Volumes – Set 3

Question 1

A river 1.5 m deep and 30 m wide is flowing of the role of 3 km per hour. The volume of water that runs into the sea per minute is

Accepted Answer

$2250\ m^3$

Answer

$2000\ m^3$

Answer

$2500\ m^3$

Answer

$2750\ m^3$

Question 2

The lateral surface area of a cube is $256\ m^2$. The volume of the cube is

Accepted Answer

$512\ m^3$

Answer

$64\ m^3$

Answer

$216\ m^3$

Answer

$256\ m^3$

Question 3

The total surface area of the cube is $96\ cm^2$. The volume of the cube is

Accepted Answer

$64\ m^3$

Answer

$8\ m^3$

Answer

$27\ m^3$

Answer

$215\ m^3$

Question 4

The volume of a cube is $512\ m^3$ The total surface area is-

Accepted Answer

$384\ m^2$

Answer

$256\ m^2$

Answer

$512\ m^2$

Answer

$64\ m^2$

Question 5

The length of the longest rod that can fit in a cuboid vessel of side 10 cm, is

Accepted Answer

10√3 cm

Answer

10 cm

Answer

20 cm

Answer

10√2 cm

Question 6

If the length of diagonals of a cube is 8√3 cm, then its surface area is

Accepted Answer

$384\ m^2$

Answer

$192\ m^2$

Answer

$512\ m^2$

Answer

$768\ m^2$

Question 7

If each edge of a cube is increased by 50%, then the % increase in its surface area is

Accepted Answer

125%

Answer

50%

Answer

75%

Answer

100%

Question 8

Three cubes of metal with edges 3 cm, 4cm, 5 cm respectively are melted to for a single cube, the lateral surface area of the new cube, formed is

Accepted Answer

$144\ m^2$

Answer

$72\ m^2$

Answer

$128\ m^2$

Answer

$256\ m^2$

Question 9

In a shower, 5 cm of rainfalls. What is the volume of water that falls on 2 hectares of ground

Accepted Answer

$1000\ m^3$

Answer

$500\ m^3$

Answer

$750\ m^3$

Answer

$800\ m^3$

Question 10

Two cubes have their volumes, in the ratio 1:27, the ratio of their surface area is

Accepted Answer

1:9

Answer

1:3

Answer

1:8

Answer

1:18

CHAPTER-13 SURFACE AREAS AND VOLUMES (SET-3)

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