List of top Mathematics Questions on Mensuration asked in Bihar Board X

A, B, C, and D are four points on the circumference of a circle of radius 8 cm such that ABCD is a square. Then the area of square ABCD is:
The distance covered by a wheel of diameter 42 cm in 2 revolutions is:
What is the total perimeter of a semicircle whose radius is \( k \)?
If the radius of a circle becomes \( k \) times, then the ratio of the areas of the previous and new circles is:
If \( l \) is the slant height of a cone and \( r \) is the radius of its base, then the total surface area of the cone is:
The ratio of volumes of two spheres is \( 125 : 27 \). The ratio of their surface areas is:
A sphere of radius 8 cm is melted to form a cone of height 32 cm. The radius of the base of the cone is:
The ratio of volumes of two cubes is \( 1 : 64 \). The ratio of their total surface area is:
Two circular cylinders of equal volume have their heights in the ratio \( 1 : 2 \). The ratio of their radii is:
If the curved surface area of a cylinder is 1760 cm² and its diameter is 28 cm, then its height is:
If the curved surface area of a cylinder is 1760 cm\(^2\) and its radius is 14 cm, then its height is:
The length, breadth, and height of a cuboid are 15 m, 6 m, and 5 m respectively. Then the lateral surface area of the cuboid is
How many cubes of side 4 cm can be formed from a cube of side 8 cm?
Three cubes of metal with edges 3 cm, 4 cm, and 5 cm respectively are melted to form a single cube. What is the lateral surface area of the new formed cube?
The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is
From an external point \( P \), two tangents \( PA \) and \( PB \) are drawn to a circle. If \( PA = 6 \, \text{cm} \), then \( PB = \)
If two tangents drawn on a circle of radius 3 cm are inclined to each other at an angle of \( 60^\circ \), then the length of each tangent is
If the area of a circle is equal to the area of a square, then the ratio of their perimeters is
The distance between two parallel tangents of a circle is 10 cm. Then the radius of the circle is
Draw a circle of radius 6 cm. From a point 10 cm away from its center, construct the pair of tangents to the circle and measure their lengths.
Metallic spheres of radii 6 cm, 8 cm, and 10 cm respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.
If the radius of a circle becomes \( k \) times, then the ratio of the areas of previous and new circles is:
What is the total perimeter of a semicircle whose radius is \( k \)?
The distance covered by a wheel of diameter 42 cm in 2 revolutions is:
A, B, C and D are four points on the circumference of a circle of radius 8 cm such that ABCD is a square. Then the area of square ABCD is: