List of top Mathematics Questions on Mensuration

The total surface area of a cube is \(54\text{ cm}^2\), then its side is ___ cm.

If the perimeter of a circle is equal to that of a square, then the ratio of their areas is :

Volumes of two spheres are in the ratio 64 : 27. The ratio of their surface areas is :

Two identical solid cubes of volume \(8\text{ cm}^3\) are joined end to end. Then the length of diagonal of the resulting cuboid is :

If the radius of a sphere is 2r, then its volume will be :

What will be the perimeter of semicircle of diameter of 14 cm ? (Take \(\pi = \frac{22}{7}\))

Area of a sector of a circle of radius 36 cm is \(54\pi\text{ cm}^2\). Find the central angle (in degrees) for corresponding arc of the sector.

A cylindrical pencil sharpened at one edge is the combination of :

The area of the circle that can be inscribed in a square of 6 cm is

If semi-vertical angle of a cone of radius 7 cm is \(30^{\circ}\), then the curved surface area of the cone (in sq cm) is : (Take \(\pi = \frac{22}{7}\))

A solid metal cylinder has a radius r and height h. It is melted down and recast into a new cylinder where the radius is reduced by 5

The angle between two radii of a circle is (60^). Find the area of a sector (in sq.cm.) of radius 7 cm.

Arc \(PQ\) subtends an angle \(\theta\) at the centre of the circle with radius \(6.3 \text{ cm}\). If \(\text{Arc } PQ = 11 \text{ cm}\), then the value of \(\theta\) is

For what values of x, the polynomial x² - 12x + 32 becomes zero ?

Curved surface area of a cone is 60 square centimetres. What is the curved surface area of another cone with same radius but slant height is one third of this cone ?

Area of sector of a circle with radius \(18 \text{ cm}\) is \(198 \text{ cm}^2\). The measure of central angle is

Find the dimensions of a rectangle of perimeter 12 cm which will generate maximum volume when swept along a circular rotation keeping the shorter side fixed as the axis.

AB and CD are diameters of a circle with centre O and radius 7 cm. If \(\angle BOD = 30^\circ\), then find the area and perimeter of the shaded region.

A sector of a circle with radius 14 cm makes an angle 90° at the centre. Then the perimeter of the sector is (in cm).

Find the total surface area of the cuboid if length is 12 cm, breadth 8 cm and height is 10 cm (in cubic cm.)

In a trapezium \(ABCD\), \(AB \parallel DC\) and its diagonals intersect at \(O\). Prove that \[ \frac{OA}{OC} = \frac{OB}{OD} \]

Find length and breadth of a rectangular park whose perimeter is \(100 \, \text{m}\) and area is \(600 \, \text{m}^2\).

The volume of air in a hollow cylinder is 450 cm\(^3\). A cone of same height and radius as that of cylinder is kept inside it. The volume of empty space in the cylinder is