Question

Write the formulae for C.S.A, T.S.A, and Volume of -
1. Cuboid
2. Cube
3. Cylinder
4. Cone
5. Sphere (surface area and volume of sphere)
6. Hemisphere (surface area and volume of hemisphere)

Answer 1

Answers:

For all the formulae,

(a = side), (r = radius), (h = height), (l = length), (b = breadth), (l for cone = slant heigt)

Formulae:

1. CUBOID

$T.S.A = 2(lb + bh + hl)\\ L.S.A = 2(l + b)h\\ Volume = l.b.h$

2. CUBE

$T.S.A = 6a^{2}\\ L.S.A = 4a^{2}\\Volume = a^{3}$

3. CYLINDER

$T.S.A = 2\pi r(h + r)\\L.S.A = 2\pi rh\\Volume = \pi r^{2}h$

4. CONE

$T.S.A = \pi r(l + r)\\C.S.A = \pi rl\\Volume = \frac{1}{3}\pi r^{2}h$

5. SPHERE

$S.A = 4\pi r^{2}\\Volume = \frac{4}{3}\pi r^{3}$

6. HEMISPHERE

$T.S.A = 3\pi r^{2}\\L.S.A = 2\pi r^{2}\\Volume = \frac{2}{3}\pi r^{3}$