Question

write the formulas of area and volume of the following :-
cube, cuboid, cone, cylinder, sphere, hemisphere, frustum

Answer 1

Hey friend ..here's your answer.
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Formulas of Surface areas

1.) cube = 6a^2
2.) cuboid = 2(lb + bh + hl)
3.) cone = pie × r × l
4.) cylinder = pie × r^2 h
5.) sphere = 4pie r^2
6.) hemisphere = 2pie r^2
7.) Frustum = pie ( r1 + r2 ) l

Formulas of Volume

1.) cube = a^3
2.) cuboid = Length × breadth × height
3.) cone = 1/3 pie (r)^2 h
4.) cylinder = pie(r)^2 h
5.) sphere = 4/3 pie (r)^3
6.) hemisphere = 2/3 pie (r)^3
7.) Frustum = 1/3 pie(r1 ^2 + r2 ^2 + r1r2)h

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#Hope its help you dear#
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Answer 2

TSA =Total surface area.
CSA=Curved surface area.
LSA=Lateral surface area.

TSA of cube=6a².
LSA of cube=4a².
Volume of cube=a³.

TSA of cuboid=2(lb+bh+hl).
LSA of cuboid=2(l+b)h.
Volume of cuboid=lbh.

TSA of cone=2π(r+l).
CSA of cone=πrl.
Volume of cone=⅓πr²h.

TSA of cylinder= 2πr(h+r).
CSA of cylinder=2πrh.
Volume of cylinder=πr²h.

Surface area of sphere=4πr².
Volume of sphere=4/3πr³.

TSA of hemisphere=3πr².
CSA of hemisphere=2πr².
Volume of hemisphere=⅔πr³.

TSA of frustum=πl(R+r)+πR²+πr².
CSA of frustum=πl(R+r).
Volume of frustum=⅓πh(R²+r²+Rr).


Hope it is helpful to you..