Students can go through AP SSC 10th Class Maths Notes Chapter 10 Mensuration to understand and remember the concepts easily.
AP State Syllabus SSC 10th Class Maths Notes Chapter 10 Mensuration
→ A solid is a geometrical shape with three dimensions namely length, breadth and height.
→ A solid has two types of area namely,
a) Lateral Surface Area (L.S.A.)
b) Total Surface Area (T.S.A,)
→ In general, L.S.A. of a solid is the product of its base perimeter and height.
Eg : L.S.A. of a cuboid = 2h(l + b)
L.S.A. of a cylinder = 2πrh
→ The T.S.A. of a solid is the sum of L.S.A. and the areas of its top and base.
Eg : T.S.A. of a cylinder = 2πrh + 2πr2
= 2πr(r + h)
→ In general, the volume of a solid is the product of its base area and height.
V = A. h
Eg: Volume of a cube = a2 . a = a3
Volume of a cylinder = πr2 . h = πr2h
→ The volume of solid formed by joining two basic solids is the sum of volumes of the constituents.
→ Surface area of the combination of solids: In calculating the surface area of the solid which is a combination of two or more solids, we can’t add the surface areas of all its constituents, because some part of the surface area disappears in the process of joining them.
→ Surface areas and volume of different solid shapes:
→ Some solid figures and their combination shapes: