Mensuration || 08.01.2022

The ratio of the weights of two spheres is 8 : 27 and the ratio of weights per 1 cc of materials of two is 8 : 1. The ratio of the radii of the spheres is

In the given figure there is  ΔABC. D is a point on BC. ∠BAD = 30 and ∠CAD = 60. Find the length of side AD.

A sphere is placed in a cube so that it touches all the faces of the cube. If ‘a’ is the ratio of the volume of the cube to the volume of the sphere, and ‘b’ is the ratio of the surface area of the sphere to the surface area of the cube, then the value of ab is:

The height of a cone is 60 cm. If a new cone is cut out parallel to the base of the original cone such that volume of remaining part (frustum) is 37/64 times the volume of the original cone then find the height of the smaller cone.

If each edge of a cube is increased by 10%, then the percentage increase in its surface area is:

The length, breadth and height of a cuboid are 5 cm, 2 cm and 4 cm respectively. What is the total surface area of the cuboid?

The length of one of the diagonals of a rhombus is 48 cm. If the side of the rhombus is 26 cm, then what is the area of the rhombus?

Area of a parallelogram is 1000  and sides are in the ratio 5:4. If the smaller altitude of parallelogram is of length 20 cm. What is the length of larger altitude?