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A right triangular prism has a base with sides 3 cm, 4 cm, and 5 cm. If its height is 10 cm, find its lateral surface area.
Find the total surface area of the prism described in the previous question (base sides 3, 4, 5 and height 10).
If the side of a cube is increased by 50%, the surface area increases by:
A cylinder has a base radius of 7 cm and a total surface area of 748 cm². Find its height.
The total surface area of a cone is 704 cm² and its radius is 7 cm. Find its slant height.
A capsule-shaped solid has a cylinder with two hemispheres at each end. If the radius is 'r' and the length of the cylindrical part is 'h', what is the total surface area?
How many 2 cm x 2 cm square tiles are needed to cover the surface of a cube with side 10 cm?
If the radius of a sphere is halved, what is the ratio of the surface area of the original sphere to the new one?
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.