Grade 9 : Mathematics - 13. Surface Area/Volume (Set 2)

Question 1

A wooden box is constructed with length 10 cm, width 8 cm, and height 5 cm.

Calculate the total surface area of the box.

Accepted Answer

B) $340cm^2$

Answer

A) $320cm^2$

Answer

C) $360cm^2$

Answer

D) $400cm^2$

Question 2

A rubik's cube has an edge length of 6 cm.

What is the total volume of the cube?

Accepted Answer

A) $216cm^3$

Answer

B) $144cm^3$

Answer

C) $180cm^3$

Answer

D) $256cm^3$

Question 3

A cylindrical pipe has a base radius of 7 cm and a height of 10 cm. (Take $\pi = \frac{22}{7}$)

Find the curved surface area of the pipe.

Accepted Answer

B) $440cm^2$

Answer

A) $220cm^2$

Answer

C) $660cm^2$

Answer

D) $880cm^2$

Question 4

A party hat is shaped like a right circular cone with base radius 7 cm and height 24 cm. (Take $\pi = \frac{22}{7}$)

Calculate the curved surface area of the cone.

Accepted Answer

C) $550cm^2$

Answer

A) $500cm^2$

Answer

B) $525cm^2$

Answer

D) $575cm^2$

Question 5

A metal sphere has a radius of 3 cm.

Find the volume of the sphere in terms of $\pi$.

Accepted Answer

C) $36\picm^3$

Answer

A) $18\picm^3$

Answer

B) $27\picm^3$

Answer

D) $48\picm^3$

Question 6

A solid hemisphere has a radius of 7 cm. (Take $\pi = \frac{22}{7}$)

Calculate its total surface area including the base.

Accepted Answer

B) $462cm^2$

Answer

A) $308cm^2$

Answer

C) $616cm^2$

Answer

D) $154cm^2$

Question 7

A rectangular room has a floor area of $30m^2$ and a volume of $120m^3$.

Find the height of the room.

Accepted Answer

B) 4 m

Answer

A) 3 m

Answer

C) 5 m

Answer

D) 6 m

Question 8

The total surface area of a cube is $150cm^2$.

Find the length of each edge of the cube.

Accepted Answer

B) 5 cm

Answer

A) 4 cm

Answer

C) 6 cm

Answer

D) 25 cm

Question 9

A cylindrical storage tank has a radius of 7 cm and a volume of $1540cm^3$. (Take $\pi = \frac{22}{7}$)

What is the height of the tank?

Accepted Answer

A) 10 cm

Answer

B) 12 cm

Answer

C) 14 cm

Answer

D) 15 cm

Question 10

A conical tent has a base radius of 6 cm and a slant height of 10 cm. (Take $\pi = 3.14$)

Find the curved surface area of the tent.

Accepted Answer

A) $188.4cm^2$

Answer

B) $282.6cm^2$

Answer

C) $301.44cm^2$

Answer

D) $150.72cm^2$

Question 11

A rubber ball has a surface area of $616cm^2$. (Take $\pi = \frac{22}{7}$)

Find the radius of the ball.

Accepted Answer

B) 7 cm

Answer

A) 3.5 cm

Answer

C) 14 cm

Answer

D) 21 cm

Question 12

A hemispherical bowl has a radius of 10.5 cm. (Take $\pi = \frac{22}{7}$)

Find its outer curved surface area.

Accepted Answer

A) $693cm^2$

Answer

B) $1386cm^2$

Answer

C) $462cm^2$

Answer

D) $346.5cm^2$

Question 13

A room is 5 m long, 4 m wide, and 3 m high.

Find the area of the four walls (lateral surface area).

Accepted Answer

B) $54m^2$

Answer

A) $48m^2$

Answer

C) $60m^2$

Answer

D) $94m^2$

Question 14

The volume of a cube is $343cm^3$.

Find its total surface area.

Accepted Answer

B) $294cm^2$

Answer

A) $245cm^2$

Answer

C) $343cm^2$

Answer

D) $196cm^2$

Question 15

A closed cylinder has a radius of 14 cm and a height of 5 cm. (Take $\pi = \frac{22}{7}$)

What is its total surface area?

Accepted Answer

C) $1672cm^2$

Answer

A) $1232cm^2$

Answer

B) $1440cm^2$

Answer

D) $1800cm^2$

Question 16

A cone has a volume of $314cm^3$ and a base radius of 5 cm. (Take $\pi = 3.14$)

Find the vertical height of the cone.

Accepted Answer

C) 12 cm

Answer

A) 8 cm

Answer

B) 10 cm

Answer

D) 15 cm

Question 17

A dome in the shape of a hemisphere has a volume of $19404cm^3$. (Take $\pi = \frac{22}{7}$)

Find the radius of the dome.

Accepted Answer

B) 21 cm

Answer

A) 14 cm

Answer

C) 28 cm

Answer

D) 35 cm

Question 18

If the radius of a sphere is doubled:

By what factor does its surface area increase?

Accepted Answer

B) 4 times

Answer

A) 2 times

Answer

C) 6 times

Answer

D) 8 times

Question 19

A cylindrical water tank has a diameter of 1.4 m and a height of 2 m. (Take $\pi = \frac{22}{7}$, and $1m^3 = 1000 ext{ liters}$)

What is the capacity of the tank in liters?

Accepted Answer

B) 3080 liters

Answer

A) 1540 liters

Answer

C) 6160 liters

Answer

D) 308 liters

Question 20

A cuboidal box has dimensions $12cm imes 9cm imes 8cm$.

What is the length of the longest rod that can be placed inside the box?

Accepted Answer

C) 17 cm

Answer

A) 15 cm

Answer

B) 16 cm

Answer

D) 18 cm

Grade 9 : Mathematics - 13. Surface Area/Volume (Set 2)