Maths: Mensuration Formulas

Question 1

Area of Square/Rectangle

Answer 1

area = length x width

Question 2

Area of Triangle

Answer 2

area = base x height x ½

Question 3

Area of Parallelogram/Rhombus

Answer 3

area = base x height

Question 4

Area of Trapezium

Answer 4

area = (a + b) x height x ½

Question 5

Area of Circle

Answer 5

πr^2

Question 6

Area of Semicircle

Answer 6

πr^2 x ½

Question 7

Perimeter of Semicircle

Answer 7

πr + 2r

Question 7

Perimeter of Circle

Answer 7

2πr

Question 8

Perimeter of Quadrant

Answer 8

(πr x ½) + 2r

Question 9

Volume of Square/Rectangle

Answer 9

volume = length x width x height

Question 10

TSA of Square

Answer 10

TSA = 6 x (Length x Width)

Question 11

TSA of Rectangle

Answer 11

TSA = 2( L x W + L x W + L x W)

Question 12

Volume of Prism

Answer 12

volume = area of cross section x height

Question 13

TSA of Prism

Answer 13

TSA = (2 x area of cross section) + (perimeter x height)

Question 14

Volume of Cylinder

Answer 14

volume = (πr^2) x height

Question 15

TSA of Cylinder

Answer 15

TSA = 2πr^2 + 2πrh

Question 16

Volume of Square-based Pyramid

Answer 16

volume = (Length x Width x Height) x ⅓

Question 17

TSA of Square-based Pyramid

Answer 17

TSA = area of base + 4(area of triangle)

Question 18

TSA of Cone

Answer 18

TSA = πr^2 + πrl

Question 19

Volume of Cone

Answer 19

volume = πr^2h x ⅓

Question 20

Volume of Sphere

Answer 20

volume = 4πr^3 x ⅓

Question 21

TSA of Sphere

Answer 21

TSA = 4πr^2

Question 22

Volume of Hemisphere

Answer 22

volume = 2πr^3 x ⅓

Question 23

TSA of Hemisphere

Answer 23

TSA = 3πr^2