Grade 9 : Mathematics - 8. Mensuration (Set 1)

Question 1

A rectangular garden plot has a length of 12 cm and a width of 8 cm.

What is the area of the rectangular garden?

Accepted Answer

A) $96cm^2$

Answer

B) $40cm^2$

Answer

C) $80cm^2$

Answer

D) $100cm^2$

Question 2

A square tile has a side length measuring 7 cm.

Calculate the perimeter of the square tile.

Accepted Answer

B) 28 cm

Answer

A) 14 cm

Answer

C) 49 cm

Answer

D) 35 cm

Question 3

What is the area of a triangle with a base of 10 cm and a perpendicular height of 6 cm?

Accepted Answer

C) $30cm^2$

Answer

A) $60cm^2$

Answer

B) $16cm^2$

Answer

D) $25cm^2$

Question 4

Find the semi-perimeter ($s$) of a triangular field with sides measuring 6 cm, 8 cm, and 10 cm.

Accepted Answer

B) 12 cm

Answer

A) 24 cm

Answer

C) 14 cm

Answer

D) 18 cm

Question 5

Using Heron's formula, calculate the area of a triangle with sides 3 cm, 4 cm, and 5 cm.

Accepted Answer

B) $6cm^2$

Answer

A) $12cm^2$

Answer

C) $10cm^2$

Answer

D) $8cm^2$

Question 6

Find the total surface area of a wooden cube whose edge length is 5 cm.

Accepted Answer

C) $150cm^2$

Answer

A) $125cm^2$

Answer

B) $100cm^2$

Answer

D) $175cm^2$

Question 7

What is the volume of a cube having an edge measuring 4 cm?

Accepted Answer

A) $64cm^3$

Answer

B) $16cm^3$

Answer

C) $96cm^3$

Answer

D) $48cm^3$

Question 8

A rectangular box has length 10 cm, width 5 cm, and height 4 cm.

Calculate the volume of the box.

Accepted Answer

C) $200cm^3$

Answer

A) $100cm^3$

Answer

B) $150cm^3$

Answer

D) $250cm^3$

Question 9

Find the total surface area of a cuboid with length 6 cm, breadth 4 cm, and height 3 cm.

Accepted Answer

A) $108cm^2$

Answer

B) $72cm^2$

Answer

C) $54cm^2$

Answer

D) $144cm^2$

Question 10

What is the curved surface area of a cylinder with base radius 7 cm and height 10 cm? (Use $\pi = \frac{22}{7}$)

Accepted Answer

B) $440cm^2$

Answer

A) $220cm^2$

Answer

C) $880cm^2$

Answer

D) $330cm^2$

Question 11

Determine the volume of a right circular cylinder having radius 7 cm and height 5 cm. (Use $\pi = \frac{22}{7}$)

Accepted Answer

B) $770cm^3$

Answer

A) $385cm^3$

Answer

C) $1540cm^3$

Answer

D) $540cm^3$

Question 12

A cone has a vertical height of 4 cm and a base radius of 3 cm.

Find the slant height ($l$) of the cone.

Accepted Answer

A) 5 cm

Answer

B) 7 cm

Answer

C) 6 cm

Answer

D) 8 cm

Question 13

Calculate the curved surface area of a right circular cone with radius 7 cm and slant height 10 cm. (Use $\pi = \frac{22}{7}$)

Accepted Answer

C) $220cm^2$

Answer

A) $110cm^2$

Answer

B) $440cm^2$

Answer

D) $154cm^2$

Question 14

Find the volume of a sphere with a radius of 3 cm in terms of $\pi$.

Accepted Answer

A) $36\picm^3$

Answer

B) $18\picm^3$

Answer

C) $27\picm^3$

Answer

D) $12\picm^3$

Question 15

What is the surface area of a sphere of radius 7 cm? (Use $\pi = \frac{22}{7}$)

Accepted Answer

B) $616cm^2$

Answer

A) $308cm^2$

Answer

C) $1232cm^2$

Answer

D) $154cm^2$

Question 16

Find the curved surface area of a hemisphere with radius 7 cm. (Use $\pi = \frac{22}{7}$)

Accepted Answer

B) $308cm^2$

Answer

A) $154cm^2$

Answer

C) $462cm^2$

Answer

D) $616cm^2$

Question 17

Calculate the total surface area of a solid hemisphere having radius 7 cm. (Use $\pi = \frac{22}{7}$)

Accepted Answer

B) $462cm^2$

Answer

A) $308cm^2$

Answer

C) $616cm^2$

Answer

D) $154cm^2$

Question 18

A parallelogram has a base of length 14 cm and a height of 5 cm. What is its area?

Accepted Answer

C) $70cm^2$

Answer

A) $35cm^2$

Answer

B) $28cm^2$

Answer

D) $140cm^2$

Question 19

Find the area of a rhombus whose diagonals measure 12 cm and 16 cm.

Accepted Answer

D) $96cm^2$

Answer

A) $192cm^2$

Answer

B) $48cm^2$

Answer

C) $112cm^2$

Question 20

A trapezium has parallel sides of length 10 cm and 14 cm, and a perpendicular distance between them of 6 cm. Find its area.

Accepted Answer

D) $72cm^2$

Answer

A) $144cm^2$

Answer

B) $36cm^2$

Answer

C) $84cm^2$

Grade 9 : Mathematics - 8. Mensuration (Set 1)