Maths Equations for areas, volumes and surface area of shapes

Question 1

what is the equation for the area of a rectangle

Answer 1

base x height

Question 2

what is the equation for area of parallelogram

Answer 2

base x height

Question 3

what is the equation for area of a triangle

Answer 3

1/2 x base x height

Question 4

what is the equation for area of trapezium

Answer 4

1/2 x (a + b) x height

Question 5

what is the equation for the circumference of a circle

Answer 5

πd

Question 6

what is the equation for the area of a circle

Answer 6

πr^2

Question 7

what is the equation for arc length

Answer 7

angle/360 x πd

Question 8

what is the equation for the area of a sector

Answer 8

angle/360 x πr^2

Question 9

what is the equation for surface area of a sphere

Answer 9

4πr^2

Question 10

what is the equation for the volume of a sphere

Answer 10

4/3 π r³

Question 11

what is the equation for surface area of a cylinder

Answer 11

2 x PI x radius squared + PI x diameter x height

Question 12

what is the equation for volume of a cylinder

Answer 12

πr^2 x height

Question 13

what is the equation for the surface area of a cone

Answer 13

πrl + πr^2
(note, length is the same as height except length follows the edge of the shape)(l = length)

Question 14

what is the equation for volume of a cone

Answer 14

(πr^2 x h)/3
(h = height)

Question 15

what is the equation for the surface area of a rectangular prism

Answer 15

2(length x width + length x height + width x height)

Question 16

what is the equation for the volume of a rectangular prism

Answer 16

(base x height) x length

Question 17

what is the equation for the surface area of a triangular prism

Answer 17

base x height + 2 x (length x side) + length x base

Question 18

what is the equation for volume of triangular prism

Answer 18

(1/2 x base x height )x length