Chapter 12 · Class 10 CBSE · Formula Sheet
Surface Areas & Volumes Formulas — Class 10 CBSE
Find surface area and volume of combinations of solids and conversion between solids.
Key Formulas
Frustum CSA
\text{CSA} = \pi (r_1 + r_2) l
Frustum TSA
\text{TSA} = \pi (r_1 + r_2) l + \pi r_1^2 + \pi r_2^2
Frustum Volume
V = \dfrac{\pi h}{3}(r_1^2 + r_2^2 + r_1 r_2)
Frustum Slant Height
l = \sqrt{h^2 + (r_1 - r_2)^2}
Volume Conversion
\text{Volume of new solid} = \text{Volume of original solid}
When one solid is melted and recast
Worked Examples
1Using: Area of Rectangle
Find the area of a rectangle with length 12 cm and breadth 5 cm.
Step 1: Area = l x b
Step 2: = 12 x 5 = 60 sq. cm.
Answer: 60 sq. cm
2Using: Perimeter of Square
Find the perimeter of a square with side 8 m.
Step 1: Perimeter = 4a
Step 2: = 4 x 8 = 32 m.
Answer: 32 m
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