Mensuration - One Line Questions
1.
The surface area of a sphere with radius 'r' is: —
4 * pi * r^2
2.
If the area of an equilateral triangle is √3/4 * a^2, what is the area of an equilateral triangle with a side length of 2 cm? —
√3 sq cm
3.
What is the ratio of the volume of a sphere to the volume of a cylinder that perfectly encloses it (same radius and height)? —
2:3
4.
If the diagonal of a square is 10√2 cm, what is its side length? —
10 cm
5.
A sector of a circle has a radius of 10 cm and an angle of 90 degrees. What is its area? —
25 pi sq cm
6.
What is the perimeter of a rhombus with side length 6 cm? —
24 cm
7.
A cuboid has dimensions 5 cm x 4 cm x 3 cm. What is its volume? —
60 cubic cm
8.
A square has a side of 7 meters. What is its perimeter? —
28 meters
9.
A triangle has a base of 8 cm and a height of 6 cm. What is its area? —
48 sq cm
10.
What is the volume of a hemisphere with radius 6 cm? —
452.4 cubic cm
11.
What is the volume of a rectangular prism with length 8 cm, width 3 cm, and height 4 cm? —
96 cubic cm
12.
If the length of a rectangle is 10 cm and its width is 5 cm, what is its area? —
50 sq cm
13.
Calculate the total surface area of a cone with radius 3 cm and slant height 5 cm. —
24 pi sq cm
14.
Find the surface area of a sphere with radius 7 cm (use pi = 22/7). —
616 sq cm
15.
A cylindrical can has a radius of 7 cm and a height of 10 cm. What is its volume (use pi = 22/7)? —
1540 cubic cm
16.
The total surface area of a cuboid is: —
2 * (lw + lh + wh)
17.
What is the lateral surface area of a cuboid with length 'l', width 'w', and height 'h'? —
2 * (lh + wh)
18.
The area of a circle with radius 'r' is: —
pi * r^2
19.
What is the volume of a cylinder with radius 'r' and height 'h'? —
pi * r^2 * h
20.
What is the total surface area of a cylinder? —
2 * pi * r (r + h)
21.
The curved surface area of a hemisphere is: —
2 * pi * r^2
22.
What is the total surface area of a hemisphere? —
3 * pi * r^2
23.
What is the volume of a hemisphere with radius 'r'? —
(2/3) * pi * r^3
24.
Find the area of a trapezoid with parallel sides of length 8 cm and 12 cm, and a height of 5 cm. —
100 sq cm
25.
Calculate the lateral surface area of a cylinder with radius 3 cm and height 7 cm. —
132 sq cm
26.
The lengths of the parallel sides of a trapezoid are 7 cm and 10 cm, and its area is 51 sq cm. What is its height? —
6 cm
27.
What is the volume of a pyramid with a square base of side 4 cm and a height of 6 cm? —
32 cubic cm
28.
Find the total surface area of a hemisphere with radius 4 cm. —
48 pi sq cm
29.
What is the volume of a sphere with radius 3 cm? —
113.1 cubic cm
30.
What is the volume of a sphere with radius 'r'? —
(4/3) * pi * r^3
31.
What is the total surface area of a cylinder with radius 2 cm and height 5 cm? —
94.2 sq cm
32.
What is the circumference of a circle with a radius of 7 cm (use pi = 22/7)? —
44 cm
33.
Find the area of a circle with a diameter of 14 cm (use pi = 22/7). —
154 sq cm
34.
What is the perimeter of a regular hexagon with side length 8 cm? —
48 cm
35.
The area of a rhombus is 50 sq cm and one of its diagonals is 10 cm. What is the length of the other diagonal? —
10 cm
36.
The area of a parallelogram is 30 sq cm and its base is 6 cm. What is its height? —
5 cm
37.
The diameter of a circle is 20 cm. What is its radius? —
10 cm
38.
Calculate the curved surface area of a hemisphere with radius 5 cm. —
50 pi sq cm
39.
What is the volume of a cube with side length 's'? —
s^3
40.
Find the volume of a cone with radius 6 cm and height 10 cm. —
377 cubic cm
41.
What is the curved surface area of a cone with radius 5 cm and slant height 13 cm? —
282.7 sq cm
42.
What is the surface area of a cube with side length 5 cm? —
150 sq cm
43.
Calculate the volume of a cube with an edge of 3 cm. —
27 cubic cm
44.
The area of a triangle is given by: —
0.5 * Base * Height
45.
What is the formula for the area of a rectangle? —
Length * Width
46.
What is the curved surface area of a cone? —
pi * r * l
47.
The total surface area of a cone is: —
pi * r (r + l)
48.
What is the formula for the circumference of a circle? —
2 * pi * r
49.
The curved surface area of a cylinder is: —
2 * pi * r * h
50.
The volume of a cone with radius 'r' and height 'h' is: —
(1/3) * pi * r^2 * h