Maths Formula

Question 1

Cube

Answer 1

Vol. - (side)³
TSA - 6 (side)²
Diagonal - √3( side)

Question 2

Cylinder

Answer 2

Vol. - πr²h
CSA - 2πrh
TSA - 2πrh+ 2πr² = 2πr( h+ r )

Question 3

Sphere

Answer 3

Volume - 4/3πr³
TSA - 4πr²

Question 4

Cuboid

Answer 4

Vol. - l×b×h
TSA - 2(lb×bh×hl)
Diagonal - √ l²+b²+h²

Question 5

Cone

Answer 5

Vol. - 1/3 πr²h
TSA - πrl + πr² ( L+r )
CSA - πrl

Question 6

Semi sphere

Answer 6

Vol. - 2/3πr³
CSA - 2πr²
TSA - 3πr²

Question 7

Triangle

Answer 7

Area of right angle triangle

       1/2 base × height

Question 8

Equilateral triangle

Answer 8

Area - √3/4 (side)²
Height - √3/2( side )
Perpendicular = a = 2/√3(p1+p2+p3)

Question 9

Area of scalane triangle

Answer 9

√s(s-a)(s-b)(s-c) (half parameters)

Area - 1/2 ab sintheta

Sin30 = 1/2 sin45 = 1/√2 sin60= √3/2

Question 10

Area of isosceles traingle

Answer 10

b/4 √4a²-b²

Question 11

Rectangle

Answer 11

Area - L × W
Perimeter - 2(L + W)
Diagonal - √ L² + W²

Question 12

Square

Answer 12

Area - a²
Perimeter - 4 (side)
Diagonal - √2(side)

Question 13

Parallelogram

Answer 13

Area = base × height

Question 14

Circle

Answer 14

Area = πr²
Circumference= 2πr
Area of radius = 1/2 lr
Redian = arc / radius

Question 15

Semi circle

Answer 15

Area = 1/2 πr²
Circumference = r ( π + 2 )

Question 16

Area of heaxagon

Answer 16

6×√3/4(side)²

Question 17

Area of four wall room

Answer 17

2× height ( length × width )

Question 18

Trapezoid

Answer 18

Area = 1/2×(a+b)+h

Question 19

Equal quadrilateral

Answer 19

Area = 1/2×multiplication of diagonal

Question 20

Cyclical quadrilateral

Answer 20

Area = √(s-a)(s-b)(s-c)

   S= a+b+c+/2

Question 21

Prizme

Answer 21

Vol = area of base × height
CSA = base of perimeter × height
TSA = 2×CSA + area of base

Question 22

Pyramid

Answer 22

Vol. = 1/3 × base area × height
CSA = 1/2× perimeter base ×slant hgt.
TSA = CSA + base area

Question 23

Frustum

Answer 23

Vol. = 1/2πh(R²+r²+Rr)
CSA = π ( R+r )s
(s = slant height )
TSA = CSA + πr² + πR²