Volume and Surface Area Questions
FACTS AND FORMULAE FOR VOLUME AND SURFACE AREA QUESTIONS
I. CUBOID
Let length=l, breadth =b and height =h units. Then,
1. Volume = (l x b x h)
2. Surface area = 2(lb +bh + lh) sq.units
3. Diagonal =√l2+b2+h2 units
II. CUBE
Let each edge of a cube be of length a. Then,
1. Volume = a3 cubic units.
2. Surface area = 6a2 sq.units
3. Diagonal = √3a units
III. CYLINDER
Let radius of base = r and Height (or Length) = h. Then,
1.Volume = (πr2h) cubic units
2. Curved surface area = (2πrh) sq.units
3. Total surface area = (2πrh+2πr2) sq.units
IV. CONE
Let radius of base =r and Height = h. Then,
1. Slant height, l=√h2+r2 units
2. Volume = (13πr2h) cubic units.
3. Curved surface area = (πrl)sq.units
4. Total surface area = (πrl+πr2)sq.units
V. SPHERE
Let the radius of the sphere be r. Then,
1. Volume =(43πr3) cubic units
2. Surface area = (4πr2) sq.units
VI. HEMISPHERE
Let the radius of a hemisphere be r. Then,
1. Volume = (23πr3) cubic units.
2. Curved surface area = (2πr2) sq.units
3. Total surface area = (3πr2) sq.units