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13 Cards in this Set
- Front
- Back
Perimeter
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Perimeter is the distance around a flat (2-dimensional) shape.
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Circumference
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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 |
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Area
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Area is the amount of space taken up by a flat (2-dimensional) shape.
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Area of a Rectangle
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Area of a Rectangle = length × width
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Area of a Triangle
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Area of a Triangle = 1/2 base × height
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Area of a Circle
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A = (pi)r2,
where r is the radius and 3.14 |
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Volume
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The volume of a solid is the number of cubic units contained in the solid.
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volume of a rectangular prism
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Volume = L × W × H
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volume of a cylinder
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The volume of a cylinder is equal to the product of the area of the base (r(pi)2) and the height (H).
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Surface area
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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.
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surface area of a rectangular prism with length 9 in., width 5 in., and height 4 in.
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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 |
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surface area of a cylinder
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To calculate the surface area of the cylinder, add together the area of the top circle, the bottom circle, and the sides.
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Find the surface area of a cylinder with a radius of 3 cm and a height of 10 cm
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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 |