| SL |
Name of the figure |
Perimeter, area and volume |
Nomenclature |
| 1 |
Triangle |
Perimeter = a+b+c,
Area = ½ b×h |
B is the base and
H is heights
a, b and c are the sides of the triangle
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| 2 |
Right angled triangle |
Perimeter = b+h+d
Area = ½ b×h |
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| 3 |
Equilateral triangle |
Perimeter = 3a
Area = (i) ½ a×h
= (ii) √3/4 a²
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a = side
h = altitude |
| 4 |
Rectangle |
Perimeter = 2(a+b)
Area = ab
|
a = length
b = breadth |
| 5 |
Square |
Perimeter = 2a
Area = a² sq. units
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a = side |
| 6 |
Parallelogram |
Perimeter = 2(a+b)
Area = ah
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a = side
b = side adjacent to a
h = distance between parallel sides
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| 7 |
Rhombus |
Perimeter = 4a
Area = ½d1d2
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A=side=½√(d12+d22)
d1, d2 = diagonals
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| 8 |
Trapezium |
Perimeter = Sum of 4 sides
Area = ½h(a+b)
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a, b = parallel sides
h = distance between parallel sides
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| 9 |
Quadrilateral |
Perimeter = Sum of 4 sides
Area = ½(AC)(h1+h2)
|
AC = diagonal
h1,h2 = altitudes on AC
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| 10 |
Circle |
Circumference = 2πr
Area = πr²
|
r =radius |
| 11 |
Cuboid |
Total Surface = 2(lb+bh+hl)
Volume = lbh
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l = length
b = breadth
h = height
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| 12 |
Cube |
Total Surface = 6a²
Volume =A3
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a = edge |
| 13 |
Right circular cylinder |
Total Surface = 2πr(h+r)
Volume =π r²h
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r = radius of the base
h = height of the cylinder
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| 14 |
Right circular cone |
Total Surface = πr(l+r)
Volume =1/3 π r²h
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r =radius
L = slant height
h = height
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| 15 |
Sphere |
Total Surface = 4πr²
Volume =4/3π r3
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r =radius |
| 16 |
Hemisphere |
Total Surface = 3πr²
Volume =2/3π r3
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r =radius |
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