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pi (p)=3.1415926535 ...
Perimeter formula |
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Square |
4 × side |
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Rectangle |
2 × (length + width) |
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Parallelogram |
2 × (side1 + side2) |
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Triangle |
side1 + side2 + side3 |
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Regular n-polygon |
n × side |
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Trapezoid |
height × (base1 + base2) / 2 |
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Trapezoid |
base1 + base2 + height × [csc(theta1) + csc(theta2)] |
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Circle |
2 × pi × radius |
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Ellipse |
4 × radius1 × E(k,pi/2)
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Area formula |
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Square |
side2 |
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Rectangle |
length × width |
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Parallelogram |
base × height |
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Triangle |
base × height / 2 |
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Regular n-polygon |
(1/4) × n × side2 × cot(pi/n) |
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Trapezoid |
height × (base1 + base2) / 2 |
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Circle |
pi × radius2 |
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Ellipse |
pi × radius1 × radius2 |
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Cube (surface) |
6 × side2 |
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Sphere (surface) |
4 × pi × radius2 |
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Cylinder (surface of side) |
perimeter of circle × height |
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2 × pi × radius × height |
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Cylinder (whole surface) |
Areas of top and bottom circles + Area of the side |
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2(pi × radius2) + 2 × pi × radius × height |
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Cone (surface) |
pi × radius × side |
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Torus (surface) |
pi2 × (radius22 - radius12 ) |
Volume formula |
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Cube |
side3 |
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Rectangular Prism |
side1 × side2 × side3 |
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Sphere |
(4/3) × pi × radius3 |
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Ellipsoid |
(4/3) × pi × radius1 × radius2 × radius3 |
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Cylinder |
pi × radius2 × height |
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Cone |
(1/3) × pi × radius2 × height |
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Pyramid |
(1/3) × (base area) × height |
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Torus |
(1/4) × pi2 × (r1 + r2) × (r1 - r2)2 |
If l, b and h are length, breadth and height of a cuboid, then
• lateral surface area = 2h (l + b)
• total surface area of the cuboid = 2(lb + bh + lh)
• volume = lbh
If 'a' is the length of the edge of a cube, then
• lateral surface area of the cube = 4a2
• total surface area of the cube = 6a2
• volume = a3
Curved surface area of a cylinder (CSA) = 2prh.
Total surface area of a cylinder (TSA) = 2prh + 2pr2 = 2pr(h +
r).
Volume of a cylinder (V) = pr2h.
Base area of the cone = pr2
Curved surface area of the cone = prl
Total surface area of the cone = prl + pr2 = pr(l + r)
Volume of the cone = 1 3 pr2h
Surface area of a sphere (A) = 4pr2
Volume of a sphere (V) = 4 3 pr3
Surface area of a hemisphere = 2pr2
Total surface area of a hemisphere = 3pr2
Volume of a hemisphere = 2 3 pr3
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