Write all the formulae of volume and surface area of solids
Answers
Answer:
CUBOID
Let length = l, breadth = b and height = h units. Then
Volume = (l x b x h) cubic units.
Surface area = 2(lb + bh + lh) sq. units.
Diagonal = l2 + b2 + h2 units.
CUBE
Let each edge of a cube be of length a. Then,
Volume = a3 cubic units.
Surface area = 6a2 sq. units.
Diagonal = 3a units.
CYLINDER
Let radius of base = r and Height (or length) = h. Then,
Volume = (r2h) cubic units.
Curved surface area = (2rh) sq. units.
Total surface area = 2r(h + r) sq. units.
CONE
Let radius of base = r and Height = h. Then,
Slant height, l = h2 + r2 units.
Volume = r2h cubic units.
Curved surface area = (rl) sq. units.
Total surface area = (rl + r2) sq. units.
SPHERE
Let the radius of the sphere be r. Then,
Volume = r3 cubic units.
Surface area = (4r2) sq. units.
HEMISPHERE
Let the radius of a hemisphere be r. Then,
Volume = r3 cubic units.
Curved surface area = (2r2) sq. units.
Total surface area = (3r2) sq. units.
Note: 1 litre = 1000 cm3.
Answer:
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Step-by-step explanation:
The surface area of various solid shapes are given below: Cuboid: 2(lb+bh+hl), where l, b and h are the length, breadth and height of a cuboid. Cube: 6a2, a is the side of the cube. Cylinder: 2πr (r+h), r is the radius of circular base and h is the height of the cylinder.