Volume

Volume of a Cube

The volume of a cube is (length of side)³.

Volume of a Rectangular Prism

The volume of a rectangular prism can be found by the formula:
volume=length*width*height

Surface Area

Calculate the Surface Area of a Cube

To calculate the surface are of a cube, find the surface area of one side and multiply by 6. The surface area of any side is the length of a side squared.

Example: Surface area of a cube with a side of length 4 = 4*4*6 = 96

Surface Area of Rectangular Prisms

A rectangular prism has 2 ends and 4 sides. Opposite sides have the same area. The surface area is the sum of the areas of all six sides.

How to find the surface area of Rectangular Prisms:

• Find the area of two sides (Length*Height)*2 sides
• Find the area of adjacent sides (Width*Height)*2 sides
• Find the area of ends (Length*Width)*2 ends
• Add the three areas together to find the surface area
• Example: The surface area of a rectangular prism 5 cm long, 3 cm. wide and 2 cm. high = 5*2*2 + 3*2*2 + 5*3*2 = 20 + 12 + 30 = 62 cm².

Finding Areas

Calculating the Area of a Square

How to find the area of a square:

• The area of a square can be found by multiplying the base times itself. This is similar to the area of a rectangle but the base is the same length as the height.
• If a square has a base of length 6 inches its area is 6*6=36 square inches

Calculating the Area of a Rectangle

How to find the area of a rectangle:

• The area of a rectangle can be found by multiplying the base times the height.
• If a rectangle has a base of length 6 inches and a height of 4 inches, its area is 6*4=24 square inches

Calculating the Area of a Parallelogram

How to find the area of a parallelogram:

• The area of a parallelogram can be found by multiplying the base times the height.
• If a parallelogram has a base of length 6 inches and a height of 4 inches, its area is 6*4=24 square inches

Calculating the Area of a Trapezoid

A trapezoid is a quadrilateral (has 4 sides) and has only one pair of sides parallel.

How to determine the area of a trapezoid:

• Add the lengths of the 2 parallel sides
• divide by 2 to get the average length of the parallel sides.
• Multiply this by the height (distance between the parallel sides

Calculating the Area of a Triangle

How to find the area of a triangle:

• The area of a triangle can be found by multiplying the base times the one-half the height.
• If a triangle has a base of length 6 inches and a height of 4 inches, its area is 6*2=12 square inches

Finding the Area of a Circle

How to find the area of a circle:

• The area of a circle can be found by multiplying pi ( π = 3.14) by the square of the radius
• If a circle has a radius of 4, its area is 3.14*4*4=50.24
• If you know the diameter, the radius is 1/2 as large.

formulas

GURU.

Calculating the Perimeter of a Square

The perimeter of a square is the distance around the outside of the square. A square has four sides of equal length. The formula for finding the perimeter of a square is 4*(Length of a Side).

Calculating the Perimeter of a Rectangle

The perimeter of a rectangle is the distance around the outside of the rectangle. A rectangle has four sides with opposite sides being congruent. The formula for finding the perimeter is Side A + Side B + Side A + Side B. This could also be stated as 2*Side A + 2*Side B or 2*(Side A + Side B)

Calculating the Perimeter of a Parallelogram
The perimeter of a parallelogram is the distance around the outside of the parallelogram. A parallelogram has four sides with opposite sides being congruent. The formula for finding the perimeter is Side A + Side B + Side A + Side B. This could also be stated as 2*Side A + 2*Side B or 2*(Side A + Side B).

Calculating the Circumference of a Circle

The circumference of a circle is the distance around the outside of the circle. It could be called the perimeter of the circle.

How to find the circumference of a circle:

• The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle.
• If a circle has a diameter of 4, its circumference is 3.14*4=12.56
• If you know the radius, the diameter is twice as large

Length

1 inch 2.540 centimeters

1 foot 30.48 centimeters

1 mile 1.609 kilometers

1 centimeter 0.3937 inches

1 meter 39.37 inches or 100 centimeters

1 kilometer 0.6214 miles or 1000 meters

Area

1 square mile 640 acres

1 acre 43.560 feet squared

1 square meter 10.76 feet squared

1 square foot 929 centimeters squared

Volume

1 US Gallon 3.785 litres

1 British Gallon 1.201 US gallon

1 US Quart .946 litre

Speed

1 Mile per hour 1.609 Kilometer per hour

1 Kilometer per hour .62 Miles per hour

Temperature

Sea Level 32 Degrees Fahrenheit

0 Degrees Celsius (Freezing Point)

212 Degrees Farenheit

100 Degrees Celsius (Boiling Point)

Weight

1 Pound .453 Kilogram,

16 ounces, 453 grams

1 Ounce 28 grams

1 Kilogram 2.2 pounds