Cuboids and Cylinders in Geometry
Learn about the properties of cuboids and cylinders, including how to calculate their total surface area, lateral surface area, and volume. Understand the relationships between dimensions and formulas to solve geometric problems efficiently.
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Presentation Transcript
= = a a a 1 2 3
= a) + + + + + (a (a a) (a = a) (a a) (a a) (a a) 6(a a) = 2 6a
= 2 We know that tota surface l area of cube 6a . The area of bottom and top reduced. is So remaining area + - : = 2 2 2 2 6a a ( a ) 4 a
= a a a = 3 a
CUBOID :- A three-dimensional geometric figure formed of six rectangular plane faces, each set at right angles to the four sides adjacent to it.
FINDING TOTAL SURFACE AREA OF CUBOID:- = + + + + + ( ) ( = ) ( ) b ( h ) ( ) ( ) l b b h h + l l b b h h l + ( 2 ) bh ( 2 + ) ( 2 ) l b + h l = 2( ) lb hl
FINDING LATERAL SURFACE AREA OF CUBOID :- = + + + ( ) ( ) ( ) ( ) l h l h b h b h = + ( 2 ) ( ) l h b h = + ( 2 ) l b h
FINDING VOLUME OF CUBOID:- = l b h
= We know perimeter of circle with radius = r 2 r curved So surface area = of Cylinder 2 r h 2 rh
2 = Curved surface area of cuboid rh 2 = 2 Area of two circles r = + 2 Total surface area r of + cuboid h 2 2 rh r = 2 ( ) r
= 2 r h = 2 r h
1 = 2 l r 2 = . rl
= 2 Area of circle r = Curved Surface Area rl = + Total Surface Area ( ) r l r
FINDING VOLUME OF CONE :- 1 = 2 r h 3 1 = 2 r h 3
= Surface area of sphere circle a of area the times 4 r 4 = 2 surface So area of sphere
4 = 3 r 3 4 = 3 r 3
= Curved = surface area of hemisphere twice the area circle 2 2 r = 2 2 r
= Total = surface area of Hemisphere Thrice the area circle 2 3 r = 2 3 r
2 = 2 r 3 2 = 2 r 3
