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13 Cards in this Set

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  • Back
Perimeter
Perimeter is the distance around a flat (2-dimensional) shape.
Circumference
Circumference is the distance around a circle.

The circumference of a circle is given by the formula
C = 2(pi)r, where pi is 3.14
Area
Area is the amount of space taken up by a flat (2-dimensional) shape.
Area of a Rectangle
Area of a Rectangle = length × width
Area of a Triangle
Area of a Triangle = 1/2 base × height
Area of a Circle
A = (pi)r2,

where r is the radius and 3.14
Volume
The volume of a solid is the number of cubic units contained in the solid.
volume of a rectangular prism
Volume = L × W × H
volume of a cylinder
The volume of a cylinder is equal to the product of the area of the base (r(pi)2) and the height (H).
Surface area
Surface area is the measure of the number of square units needed to cover the outside of a figure. In other words, it is the area of the surface of an object.
surface area of a rectangular prism with length 9 in., width 5 in., and height 4 in.
Since the prism has six sides, find the area of each side and add them together.
Surface Area = (9 in × 5 in) + (9 in × 5 in) + (9 in × 4 in) + (9 in × 4 in) +
(5 in × 4 in) + (5 in × 4 in)
= 45 in2 + 45 in2 + 36 in2 + 36 in2 + 20 in2 + 20 in2
= 202 in2
surface area of a cylinder
To calculate the surface area of the cylinder, add together the area of the top circle, the bottom circle, and the sides.
Find the surface area of a cylinder with a radius of 3 cm and a height of 10 cm
Area of Top = Area of Bottom = r2
= 3.14 × (3 cm)2
= 28.26 cm2


Area of Side = circumference × height
= (2r) × height
= 2 × 3.14 × 3 cm × 10 cm
= 188.4 cm2


Surface Area = Area of Top + Area of Bottom + Area of Side
= 28.26 cm2 + 28.26 cm2 + 188.4 cm2
= 244.92 cm2