1.
CUBOID
Let length = l, breadth = b and height = h units. Then
i.
Volume = (l x b x h)
cubic units.
ii.
Surface area = 2(lb + bh + lh)
sq. units.
iii.
Diagonal = √(l2 + b2 + h2 )units. (Square root of (l2 + b2 + h2 ))
2.
CUBE
Let each edge of a cube be of length a. Then,
i.
Volume = a3 cubic units.
ii.
Surface area = 6a2 sq. units.
iii.
Diagonal = 3a units.
3.
CYLINDER
Let radius of base = r and Height (or length) = h. Then,
i.
Volume = (πr2h) cubic units.
ii.
Curved surface area = (2πrh)
sq. units.
iii.
Total surface area = 2πr(h + r) sq. units.
4.
CONE
Let radius of base = r and Height = h. Then,
i.
Slant height, l = √(h2 + r2 )units. (Square root of (h2 + r2 ))
ii.
Volume =(1/3)( πr2h) cubic units.
iii.
Curved surface area = (πrl) sq. units.
iv.
Total surface area = (πrl + πr2)
sq. units.
5.
SPHERE
Let the radius of the sphere be r. Then,
i.
Volume = (4πr3 )/3 cubic units.
ii.
Surface area = (4πr2) sq. units.
6.
HEMISPHERE
Let the radius of a hemisphere be r. Then,
i.
Volume = (2/3) πr3cubic
units.
ii.
Curved surface area = (2πr2) sq. units.
iii.
Total surface area = (3πr2) sq. units.
Note: 1
litre = 1000 cm3.Quantitative Aptitude Quizzes and Study Material
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