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Math Perimeter, Area, and Volume Formulas Explained

Learn about perimeter, area, volume formulas and solve word problems for squares, rectangles, circles, triangles, trapezoids. Understand surface area and volume for 3D shapes. Also, discover Pythagorean theorem and simple interest formula.

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Math Perimeter, Area, and Volume Formulas Explained

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  1. Joshua westmath PowerPoint 2nd per

  2. perimeter • the border or outer boundary of a two-dimensional figure. • Square P=4s • Rectangle p=2l+2w or p=2(l+w)

  3. Word problem What is the perimeter of a square if the side length is 2. Solution 8 What is the perimeter of a rectangle if if the length is 4 an the width is 2. Solution is 12

  4. circumference • The area of a circle, the outer boundary. • Example, Circle C=2 r or *d

  5. Word problem • What is the circumference of a circle if the diameter is 4. • Solution 12.66

  6. Area • The area within the space , the space or site on which a building stands; the yard attached to or surrounding a house. • Square A=s2 • Rectangle A=lw • Triangle A=bh /2 • Trapezoid A=1/2(b1+b2)h • Circle A=pi*r2

  7. Word problem • What is the area of a square if the side is 4. • Solution 16 • What is the area of a rectangle if the length is 5 an the width is 2. • Solution is 10 • What is the area of a triangle if the base is 5 an the height is 8 • Solution is 20

  8. Word problem • What is the area of a trapezoid if the half # is 5 an b1 is 2 an b2 is 2 an height is 10 • Solution 200

  9. Big P • The perimeter of the base of a three dimensional figure.

  10. Big B • The area of the base of a three dimensional figure.

  11. Surface area • Cube (total) s=6s2 • Prism (lateral) s=Ph • Pyramid (lateral) s=1/2 pl • Pyramid (total) s=1/2 pl +b • Cylinder (lateral) s=2*pi*r*h • Cylinder (total) s=pi*r*h+2*pi*r2 • The extent of a 2-dimensional surface enclosed within a boundary.

  12. Word problem • What is the surface area of a cube if the side is 4 • Solution is 96 • What is the surface area of a prisms side if big p is 8 an the height is 10 • Solution is 80 • What is the surface area of a prymaid

  13. Volume • the amount of space, measured in cubic units, that an object or substance occupies. • Prism V=Bh • Cylinder V=Bh • Pyramid v=1/3Bh • Sphere V=4/3 pi*r3 • Cone v=1/3 Bh

  14. Word problem • What is the volume of a prism if big B is 4 an height is 8. • Solution 32 • What is the volume of a cylinder if big B is 6 an the height is 9. • Solution is 54 • What is the volume of a pyramid if the 1/3 is 2 an big b is 8 an height is 4 • Solution is 64

  15. Pi • =3.14 or 22/7

  16. Pythagorean theorem • A2+b2=c2 the theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

  17. Word problem • A2+b2=c2

  18. Simple interest formula • I = prt • I = prt • Where,I = interestP = principalr = interest rate (per year)t = time (in years or fraction of a year)

  19. Word problem • I = prt

  20. PEMDAS • P=Punctuations • E=Exponents • M=Multiply • D=Divide • A=Add • S=Subtract

  21. Word problem • (2*7)5 • Solution 70

  22. 3d shapes • Shapes that have 3 dimensions

  23. 2d shapes • Shapes that have 2 dimensions

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