VOLUME  Used to find the amount of liquid something can hold  Ex. the area of a swimming pool is the inside of the pool while the volume is the amount.

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Presentation transcript:

VOLUME  Used to find the amount of liquid something can hold  Ex. the area of a swimming pool is the inside of the pool while the volume is the amount of water that is in it  Need to see figures in 3d (three dimensional) Rectangular prism

To do volume we need to know the………….. Formula V = lwh Volume equals length times width times height 4m 3m 2m V = lwh V = 4(3)(2) V = 24 The formulas for volume are the same as area except volume you always use height Notice that we use meter cubed for volume

Cylinder 3m 4m V = r r h V = 3.14(3)(3)(4) V = 3.14 (9)(4) V = 3.14(36) V =

8m 5m V = r r h V = 3.14(4)(4)(5) V = 3.14(16)(5) V = 3.14(80) V = 251.2

10cm 4cm Find V V = r r h V = 3.14(5)(5)(4) V = 3.14(25)(4) V = 3.14(100) V = 314 V = r r h 3 4m 6m V = 3.14(4)(4)(6) 3 Cone- circle bottom and Top goes to a point

4m 6m V = 3.14(4)(4)(6) 3 V = 3.14(16)(6) 3 V = 3.14(96) 3 V = V =100.48

Pyramid- bottom can be any shape and top comes to a point This one is a rectangular pyramid 4m 3m 2m V = l w h 3 V = (4)(3)(2) 3 V = 24 3 V = 8

6m 3m 4m V = l w h 3 V = (6)(3)(4) 3 V = 18(4) 3 V = 72 3 V = 24

SURFACE AREA  Simply it is the area of ALL of the sides of any figure  To do just find the area of each different side of a figure then add all the areas together 6m 5m 4m There are 6 different sides to the figure so we need to find the area of each side

6m 5m 4m A = lw A =(6)(4) A = A = 48 A = lw A = (5)(4) A = A = 40 Front and back sides Top and bottom A = lw A = (6)(5) A = Surface area = SA = 148

8m 3m 4m A = lw A = (8)(4) A = A = 64 Front and back sides A = lw A = (4)(3) A = A = 24 Top and bottom A =lw A =(8)(3) A = A =48 Surface area = SA= 136

4m 7m Find SA Formula…………… S = 2(3.14)(4)7 + 2(3.14)(4)(4) S = 2(3.14)28 + 2(3.14)(16) S = 56(3.14) + 32(3.14) S = S =

6m 6m Find SA S = 2(3.14)6 + 2(3.14)(3)(3) S = 2(3.14)18 +2(3.14)(9) S = 36(3.14) + 18(3.14) S = S = S = 2(3.14)(3)6 + 2(3.14)(3)(3)