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Understanding Perimeter, Area, and Volume in 8th Grade Math

This guide covers essential concepts in 8th grade math including perimeter, area, and volume of various shapes. Learn formulas for calculating the perimeter of squares and rectangles, as well as the circumference of circles. Explore area formulas for triangles, trapezoids, and circles. Additionally, we delve into surface area calculations for prisms, cylinders, pyramids, and cones. Discover how to use the Pythagorean theorem and the simple interest formula through examples and word problems, promoting deeper comprehension of three-dimensional shapes.

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Understanding Perimeter, Area, and Volume in 8th Grade Math

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  1. Maria Torres 2nd period Mrs. Rhine 8th grade math chart.,!

  2. Perimeter.,! • Distance around a two-dimensional shape. • Square p=4s • Rectangle p=2L+2W or p=2(L+W) • An easier way to find the perimeter is add up all the sides.

  3. Circumference.,! • The distance around the edge of a circle(or any curvy shape) • C=2*3.14*r

  4. Area.,! • The size of a surface. • The amount of space inside a boundary of a flat(2-demensional) object such as triangle or circle. • A=s2(square) • A=lw or A=Bh(rectangular) • A=1/2(b1+b2)h or A=Bh/2(triangle) • A=(b1+b2)h/2(trapezoid) • A=pi*r2(circle)

  5. Surface area.,! • You can find the surface area in the total way or the lateral way and the equations are….... • Prism(total) s=ph+2B (lateral)S=Ph • And so on.

  6. Surface area • Cube(total) S=6s2 • Prism(lateral) S=Ph (total)S=Ph • Pyramid(lateral)s=1/2Pl (total)S=1/2Pl+B • Cylinder(lateral)S= 2 rh (total)S=2 r(h+r)

  7. volume • Prism v=Bh • Cylinder V=Bh • Pyramid V=1/3 Bh • Cone V=1/3Bh • Sphere V=4/3 r3.

  8. Volume.,! • The amount of 3-dimensional space an object occupies by an object, Capacity.

  9. Pi.,! • =3.14 or = 22/7 • Pi means that you use it when it indicates you to use it. Like when you use it to find formulas for a circle .

  10. 3 dimensional shapes,.! • Shapes that have a lot of sides and that you can measure every side.

  11. 2 dimensional shape.,! • Shape that is flat you can only see the front and can only measure the front.

  12. Ratios.,! • Numbers that are like fractions cause there divided in two with a symbol in the middle dividing the numbers. • Ex: 5/4 ratio

  13. PEMDAS.,! • Steps to a equation from the beginning so you can get it right.

  14. Big P.,! • The big P represents the perimeter of the base of a 3-dimensional figure.

  15. Big B.,! • Big B represents the area of the base of a 3-dimentional shape.

  16. Pythagorean theorem • You find Pythagorean theorem by using this equation a2+b2=c2 • The definition of this is to modified to apply outside its original domain.

  17. simple interest formula • You find the simple interest formula with this equation I=prt.

  18. Word problem perimeter • Square There's a box that they want to measure the perimeter the side lengths are 7ft. find the perimeter? answer: 28ft Rectangle This rectangle measures 5in of whith and 7in of length they want to find the perimeter. What is the perimeter? Answer: 39in

  19. Word problem circumference

  20. Word problem Area

  21. word problem.,! • if Valeria is going to pack Styrofoam in a rectangular prism and the length is 20,the width is 10,and the height is 15.what is the volume? • A. 3000 • B.2050 • C.100 • D. not In the choices above.

  22. Thanks for watching.,! Math rocks!!!!!!!Clip art and dictionary.com

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