Mathematics Questions

A room's dimensions are 5m x 4m x 3m. It has one door of 2m x 1m and two windows of 1m x 1m each. Find the area of the walls to be painted.

Two spheres have surface areas in the ratio 16:25. What is the ratio of their radii?

The lateral surface area of a square pyramid is 240 cm² and the side of the base is 10 cm. Find the slant height.

A right prism has a height of 15 cm and its base is an equilateral triangle of side 6 cm. Find its lateral surface area.

What is the total surface area of a solid cone if its radius is r/2 and slant height is 2l?

A cylinder and a cone have equal radii and equal heights. What is the ratio of their curved surface areas if h = sqrt(3)r?

The surface area of a sphere is 'S'. If its radius is tripled, the new surface area is:

A tent is in the shape of a cylinder surmounted by a cone. If the height and radius of the cylindrical part are 3m and 14m, and the slant height of the cone is 10m, find the area of canvas used.

The ratio of the total surface area of a sphere and a hemisphere of the same radius is:

Find the area of the cardboard needed to make a closed box of size 20cm x 15cm x 10cm.

A square-based pyramid has a base area of 144 cm² and vertical height of 8 cm. Find its slant height.

Find the total surface area of a square pyramid whose base side is 6 cm and slant height is 5 cm.

If the length of the diagonal of a cube is sqrt(3) * 10 cm, what is its total surface area?

The radius of a cylinder is 3.5 cm and height 10 cm. What is the sum of areas of its two circular bases?

The total surface area of a cube is 96 cm². Find the lateral surface area.

Which of the following has the largest surface area if they all have the same volume?

A metallic sphere of radius 10.5 cm is melted and recast into small cones of radius 3.5 cm and height 3 cm. This question relates to volume, but what is the total surface area of the original sphere?

Calculate the total surface area of a right prism of height 10 cm and base a right triangle with legs 6 cm and 8 cm.

If the curved surface area of a sphere is 154 cm², find its diameter.

The ratio of the lateral surface area to the total surface area of a cube is: