Mensuration of Plane and Solid Figures - One Line Questions
1.
If a rectangle's length is increased by 10% and its width is decreased by 10%, what is the net percentage change in its area? —
1% decrease
2.
The diagonal of a square is 10√2 cm. What is the length of its side? —
10 cm
3.
If the area of a rhombus is 150 sq cm and one of its diagonals is 15 cm, what is the length of the other diagonal? —
20 cm
4.
If the area of a circle is 100π sq cm, what is its diameter? —
20 cm
5.
The perimeter of a rhombus is 52 cm and one diagonal is 24 cm. What is the length of the other diagonal? —
20 cm
6.
The lengths of the parallel sides of a trapezoid are 12 cm and 18 cm, and its height is 7 cm. What is its area? —
210 sq cm
7.
The slant height of a cone is 13 cm and its radius is 5 cm. What is its height? —
12 cm
8.
The area of a parallelogram is 120 sq cm and its height is 10 cm. What is its base length? —
12 cm
9.
What is the volume of a pyramid with a square base of side 6 cm and a height of 10 cm? —
120 cubic cm
10.
A parallelogram has a base of 15 cm and a height of 8 cm. What is its area? —
120 sq cm
11.
A solid metallic sphere of radius 10 cm is melted and recast into small cones of radius 2 cm and height 5 cm. How many such cones can be formed? —
125
12.
What is the volume of a cube with a side length of 5 cm? —
125 cubic cm
13.
What is the area of a sector of a circle with radius 6 cm and angle 60°? (Use π = 22/7) —
132/7 sq cm
14.
A rectangular garden is 40 m long and 30 m wide. A path 2 m wide is built around it. What is the area of the path? —
304 sq m
15.
The perimeter of a square is 48 cm. What is its area? —
144 sq cm
16.
The circumference of a circle is 44 cm. What is its area? (Use π = 22/7) —
154 sq cm
17.
What is the volume of a cylinder with a radius of 7 cm and a height of 10 cm? (Use π = 22/7) —
1540 cubic cm
18.
What is the volume of a right circular cylinder whose radius is 7 cm and height is 10 cm? (Use π = 22/7) —
1540 cubic cm
19.
What is the lateral surface area of a cone with radius 3 cm and slant height 5 cm? —
15π sq cm
20.
What is the lateral surface area of a cube with side length 4 cm? —
96 sq cm
21.
A rectangular field is 50 meters long and 30 meters wide. What is its perimeter? —
160 meters
22.
The dimensions of a cuboid are 10 cm, 5 cm, and 4 cm. What is its total surface area? —
220 sq cm
23.
The ratio of the radii of two circles is 2:3 and the ratio of their areas is: —
4:9
24.
What is the sum of the areas of two circles with radii 3 cm and 4 cm? (Use π = 22/7) —
78.57 sq cm
25.
If the radius of a circle is increased by 50%, by what percentage does its area increase? —
125%
26.
What is the total surface area of a hemisphere with radius 6 cm? (Use π = 22/7) —
400.57 sq cm
27.
What is the volume of a hemisphere with a diameter of 12 cm? —
144π cubic cm
28.
What is the volume of a cube whose total surface area is 216 sq cm? —
216 cubic cm
29.
If the radius of a hemisphere is 3 cm, what is its volume? —
18π cubic cm
30.
The perimeter of a regular hexagon with side length 'a' is: —
6a
31.
If the area of a rhombus is 24 sq cm and its perimeter is 20 cm, what is the length of its altitude? —
4 cm
32.
The diameter of a circle is 28 cm. What is its circumference? —
88 cm
33.
What is the area of the largest circle that can be inscribed in a square of side 14 cm? —
154 sq cm
34.
What is the area of the region between two concentric circles with radii 7 cm and 14 cm? (Use π = 22/7) —
462 sq cm
35.
A square is inscribed in a circle of radius 7 cm. What is the area of the square? —
98 sq cm
36.
The sum of the radii of two circles is 10 cm and the difference of their circumferences is 8π cm. What is the radius of the larger circle? —
7 cm
37.
The surface area of a sphere is 144π sq cm. What is its radius? —
12 cm
38.
A rectangle's length is twice its width. If its area is 72 sq cm, what is its length? —
12 cm
39.
The sides of a triangle are 3 cm, 4 cm, and 5 cm. What is its area? —
6 sq cm
40.
What is the area of a triangle with a base of 10 cm and a height of 6 cm? —
30 sq cm
41.
A circular garden has a radius of 14 meters. What is its area? (Use π = 22/7) —
616 sq meters
42.
What is the volume of a cone with radius 3 cm and height 7 cm? (Use π = 22/7) —
66 cubic cm
43.
What is the total surface area of a cylinder with radius 5 cm and height 10 cm? (Use π = 22/7) —
660 sq cm
44.
The area of a circle is 154 sq cm. What is its radius? —
7 cm
45.
What is the surface area of a sphere whose volume is 288π cubic cm? —
144π sq cm
46.
A parallelogram has sides of length 10 cm and 8 cm. If the angle between them is 30°, what is its area? —
40 sq cm
47.
The perimeter of a square is 36 cm. What is its diagonal length? —
9√2 cm
48.
If the length of a rectangle is 12 cm and its breadth is 8 cm, what is its area? —
96 sq cm
49.
The lengths of the diagonals of a rhombus are 12 cm and 16 cm. What is its area? —
96 sq cm
50.
A rectangular plot is 100 m long and 80 m wide. What is the cost of gravelling it at Rs 5 per sq meter? —
Rs 40000