Grade 9 : Mathematics - 8. Mensuration (Set 2)

Question 1

A triangular garden plot has sides measuring 13 cm, 14 cm, and 15 cm.

Calculate the area of the garden using Heron's formula.

Accepted Answer

B) $84cm^2$

Answer

A) $72cm^2$

Answer

C) $96cm^2$

Answer

D) $108cm^2$

Question 2

What is the total surface area of a cube whose edge length is 6 cm?

Accepted Answer

C) $216cm^2$

Answer

A) $144cm^2$

Answer

B) $180cm^2$

Answer

D) $252cm^2$

Question 3

A cuboidal storage tank measures 8 m in length, 6 m in width, and 3 m in depth.

How many liters of water can this tank hold? (Use $1m^3 = 1000 ext{ liters}$)

Accepted Answer

A) 144,000 liters

Answer

B) 120,000 liters

Answer

C) 160,000 liters

Answer

D) 180,000 liters

Question 4

Find the curved surface area of a cone having base radius 7 cm and slant height 10 cm. (Take $\pi = \frac{22}{7}$)

Accepted Answer

B) $220cm^2$

Answer

A) $154cm^2$

Answer

C) $308cm^2$

Answer

D) $440cm^2$

Question 5

Calculate the surface area of a sphere of radius 7 cm. (Take $\pi = \frac{22}{7}$)

Accepted Answer

D) $616cm^2$

Answer

A) $154cm^2$

Answer

B) $308cm^2$

Answer

C) $462cm^2$

Question 6

What is the total surface area of a solid hemisphere of radius 7 cm? (Take $\pi = \frac{22}{7}$)

Accepted Answer

A) $462cm^2$

Answer

B) $308cm^2$

Answer

C) $616cm^2$

Answer

D) $154cm^2$

Question 7

Find the total surface area of a right circular cylinder of radius 5 cm and height 10 cm. (Take $\pi = 3.14$)

Accepted Answer

C) $471cm^2$

Answer

A) $314cm^2$

Answer

B) $392.5cm^2$

Answer

D) $502.4cm^2$

Question 8

Find the area of an equilateral triangle with side length 8 cm.

Accepted Answer

B) $16\sqrt{3}cm^2$

Answer

A) $12\sqrt{3}cm^2$

Answer

C) $24\sqrt{3}cm^2$

Answer

D) $32\sqrt{3}cm^2$

Question 9

A rectangular hall measures 10 m long, 8 m wide, and 4 m high.

Calculate the total area of the four walls of the hall.

Accepted Answer

D) $144m^2$

Answer

A) $72m^2$

Answer

B) $96m^2$

Answer

C) $120m^2$

Question 10

If the volume of a cube is $125cm^3$, what is its total surface area?

Accepted Answer

A) $150cm^2$

Answer

B) $125cm^2$

Answer

C) $100cm^2$

Answer

D) $175cm^2$

Question 11

A cone has a base radius of 3 cm and a height of 4 cm. Find its slant height.

Accepted Answer

C) 5 cm

Answer

A) 6 cm

Answer

B) 7 cm

Answer

D) 8 cm

Question 12

Determine the volume of a sphere having a radius of 3 cm. (Take $\pi = 3.14$)

Accepted Answer

B) $113.04cm^3$

Answer

A) $84.78cm^3$

Answer

C) $141.30cm^3$

Answer

D) $169.56cm^3$

Question 13

An isosceles triangle has a perimeter of 32 cm and its base length is 12 cm.

Find the area of this isosceles triangle.

Accepted Answer

A) $48cm^2$

Answer

B) $60cm^2$

Answer

C) $36cm^2$

Answer

D) $54cm^2$

Question 14

A cylindrical pipe has a length of 14 cm and an inner radius of 2 cm. What is its inner curved surface area? (Take $\pi = \frac{22}{7}$)

Accepted Answer

D) $176cm^2$

Answer

A) $88cm^2$

Answer

B) $132cm^2$

Answer

C) $154cm^2$

Question 15

Find the length of the longest rod that can fit inside a room of dimensions $6m imes 6m imes 3m$.

Accepted Answer

B) 9 m

Answer

A) 8 m

Answer

C) 10 m

Answer

D) 12 m

Question 16

Calculate the volume of a right circular cone with radius 6 cm and height 7 cm. (Take $\pi = \frac{22}{7}$)

Accepted Answer

C) $264cm^3$

Answer

A) $132cm^3$

Answer

B) $198cm^3$

Answer

D) $396cm^3$

Question 17

The volume of a cylinder is $1540cm^3$ and its height is 10 cm. Find the radius of its base. (Take $\pi = \frac{22}{7}$)

Accepted Answer

A) 7 cm

Answer

B) 14 cm

Answer

C) 3.5 cm

Answer

D) 10.5 cm

Question 18

Find the volume of a hemisphere having a radius of 6 cm. (Take $\pi = 3.14$)

Accepted Answer

D) $452.16cm^3$

Answer

A) $226.08cm^3$

Answer

B) $339.12cm^3$

Answer

C) $400.00cm^3$

Question 19

A triangular park has sides measuring 50 m, 80 m, and 120 m.

What is the semi-perimeter ($s$) of the park?

Accepted Answer

B) 125 m

Answer

A) 250 m

Answer

C) 100 m

Answer

D) 150 m

Question 20

If each edge of a cube is doubled, by what factor does its surface area increase?

Accepted Answer

C) 4 times

Answer

A) 2 times

Answer

B) 3 times

Answer

D) 8 times

Grade 9 : Mathematics - 8. Mensuration (Set 2)