All the structures have definite areas and volumes. The surface area is generally defined as the measure of the total area that the surface of the object occupies. Scientists have developed geometric measure theory that studies the surface area of the irregular objects. Volumes are defined as the quantity of space enclosed surface. The volume of the container is understood to be the space of the container. This is a very important chapter in maths for 10th standard students of CBSE Board. Solutions to all the questions in this chapter can be easily found in any good solution key that provides . Surface areas and volumes of each shape and size are emphasized with mathematical formula and examples.

Surface Areas of cuboids and cubes

There are six rectangular pieces required to form a cuboid. It needs six pieces to cover the surface of the cuboid. The area of the cuboid can be calculated by multiplying the length by breadth separately and adding the six areas together. The mathematical formula are as follows:

Area of rectangle 1 (= l × h) + Area of rectangle 2 (= l × b) + Area of rectangle 3 (= l × h) + Area of rectangle 4 (= l × b) + Area of rectangle 5 (= b × h) + Area of rectangle 6 (= b × h)

= 2(l × b) + 2(b × h) + 2(l × h) = 2(lb + bh + hl). Therefore, the surface area of cuboid is 2(lb+bh+hl)

Where l is length, b is breadth and h is height

The length, breadth and height are equal in cube. 2 (axa+axa+axa)= 6 a²

Where a is an edge of the cube.

Surface area of cylinder "