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Q:

What is mensuration in mathematics?

A:

Mensuration is a branch of mathematics that deals with the measurement of areas and volumes of various geometrical figures. Figures such as cubes, cuboids, cylinders, cones and spheres have volume and area. Mensuration deals with the development of formulas to measure their areas and volumes.

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The area of a cube is obtained using the formula A = 4 x length squared. The volume of a cube is obtained using the formula V = length cubed.

The area of a cuboid is obtained using the formula A = 2 [lb + lh + bh] where l is the length, b is the breadth and h is the height of the cuboid. The volume of the cuboid is arrived at using the formula V = length x breadth x height.

The curved surface area of a right circular cylinder can be obtained using A = 2πrh where h is the height of the cylinder and r is the radius of the base of the cylinder. The total surface area of the cylinder is obtained using A = 2πr [h+r], and the volume is arrived at using V = πr2h.

A cone has a curved surface area called the lateral surface area. The volume of a cone is one-third the volume of a cylinder with the same height and radius of the base.

Area is expressed in square units, while volume is expressed in cubic units.

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