Perimeter, area and volume - Definitions and Formulas

Perimeter, area and volume - Definitions and Formulas

1. Perimeter, Area and Volume Selçuk Çapraz - 103529

2. The perimeter of a figure is the distance around the outside of the figure. This is true whether the figure is a familiar figure like a rectangle or triangle, or if it is a complex figure like the floorplan of a house . Perimeter of shapes To find the perimeter of this figure, you need to add the lengths of all 6 sides. Perimeter = 5 + 3 + 3 + 1 + 2 + 2 = 16 units

3. Area is a measure of how much space there is inside a shape. Calculating the area of a shape or surface can be useful in everyday life – for example you may need to know how much paint to buy to cover a wall or how much grass seed you need to sow a lawn . The simplest (and most commonly used) area calculations are for squares and rectangles . To find the area of a rectangle multiply its height by its width . Area of shapes

4. Volume is the amount of space inside a 3-dimensional figure. It is measured in cubic units. A cubic centimeter is a cube that is 1cm wide, 1cm long, and 1cm high. Another way to think of volume is to find the number of unit cubes necessary for building the figure. Volume of shapes Volume = (Area of the base) * (height)  Volume = ( 4cm * 3cm) * 5cm   Volume = 60cm 3

5. Shape Formula Variables Square P=4s s  is the length of the side of the square. Rectangle P=2L+2W L  and  W  are the lengths of the rectangle's sides (length and width). Triangle a+b+c a, b  and  c are the side lengths. Right Triangle, with legs  a and  b P= + + a  and  b  are the lengths of the two legs of the triangle Circle P=C=2 π r= π d r  is the radius and  d  is the diameter. Shape Formula Variables Square P=4s s  is the length of the side of the square. Rectangle P=2L+2W L  and  W  are the lengths of the rectangle's sides (length and width). Triangle a+b+c a, b  and  c are the side lengths. Right Triangle, with legs  a and  b a  and  b  are the lengths of the two legs of the triangle Circle P=C=2 π r= π d r  is the radius and  d  is the diameter. Perimeter Formulas

6. Shape Formula Variables Square A=s 2 s  is the length of the side of the square. Rectangle A=LW L  and  W  are the lengths of the rectangle's sides (length and width). Triangle A= bh b  and  h  are the base and height Parallelogram A= bh b  is the length of the base and  h  is the height. Trapezoid A= b 1  and  b 2  are the lengths of the parallel sides and  h the distance (height) between the parallels. Circle A= π r 2 r  is the radius. Shape Formula Variables Square A=s 2 s  is the length of the side of the square. Rectangle A=LW L  and  W  are the lengths of the rectangle's sides (length and width). Triangle b  and  h  are the base and height Parallelogram A= bh b  is the length of the base and  h  is the height. Trapezoid b 1  and  b 2  are the lengths of the parallel sides and  h the distance (height) between the parallels. Circle A= π r 2 r  is the radius. Area Formulas

7. Shape Formula Variables Cube V=s 3 s  is the length of the side. Right Rectangular Prism V=LWH L  is the length,  W  is the width and  H  is the height. Prism or Cylinder V=Ah A  is the area of the base,  h  is the height. Pyramid or Cone V= Ah A  is the area of the base,  h  is the height. Sphere V= π r 3 r  is the radius. Shape Formula Variables Cube V=s 3 s  is the length of the side. Right Rectangular Prism V=LWH L  is the length,  W  is the width and  H  is the height. Prism or Cylinder V=Ah A  is the area of the base,  h  is the height. Pyramid or Cone A  is the area of the base,  h  is the height. Sphere r  is the radius. Volume Formulas