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## Answers

**Perimeter**

for square:

P = 4s

where s is the length of 1 side

for rectangle:

P = 2L + 2W

where L is the length

W is the width

for triangle:

P = a + b + c

where a,b, and c are the length of the 3 sides

IN GENERAL, the perimeter is just the sum of all the sides of the polygon

Circumference: (equivalent perimeter in circle)

C = 2πr

or

C = πd

where r is the radius of the circle

d is the diameter of the circle

**Area:**

for square:

A = s²

where s is the length of 1 side

for rectangle:

A = LW

where L is the length

W is the width

for triangle:

A = 1/2bh

where b is the length of the base

h is the altitude/height perpendicular to the horizontal

for circle:

A = πr²

or

A = πd²/4

where r is the radius of the circle

d is the diameter of the circle

for a regular polygon:

A = n x 1/2 ah

where n is the number of sides

a is the length of 1 side

h is the perpendicular length from its center to the side

**Surface Area**

for sphere:

A = 4πr²

where r is the length of the radius

for cube:

A(lateral) = 4s²

A(total) = 6s²

where s is the length of 1 side

for cylinder:

A(lateral) = 2πrh or πdh

A(total) = 2πrh + 2πr²

where r is the radius

d is the diameter

h is the height or altitude

**Volume**

for cube:

V = s³

where s is the length of 1 side

for rectangular prism:

V = LWh

where L is the length

W is the width

h is the depth/altitude/height

for sphere:

V = 4/3πr³

where r is the radius

for cylinder:

V = πr²h

where r is the radius

h is the altitude/height

for cone:

V = 1/3πr²h

where r is the radius

h is the altitude/height

for any pointed solid:

V = 1/3BH

where B is the area of the base

H is the altitude perpendicular to the horizontal