Question

Total surface area and volume formulas cube cuboid cone cylinder sphere hemisphere

Answer 1

1. cub:

• total surface area of cube =6a^
• volume of cube= a^3

1. cuboid:

• total surface area of cuboid=2(lb+bh+hl)
• volume of cuboid=l×b×h

1. cylinder:

• volume of cylinder= pirl

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..