200 likes | 490 Views
3-18-13 Volume of a Rectangular Prism EQ: How do you find the volume of a rectangular prism? How does the area of the base affect the volume? . BOP : What is surface area? What is volume? . DWP: Find the surface are of the rectangular prism. . 5 m . 5 m. 10 m. Check homework .
E N D
3-18-13 Volume of a Rectangular Prism EQ: How do you find the volume of a rectangular prism? How does the area of the base affect the volume? BOP : What is surface area? What is volume? DWP: Find the surface are of the rectangular prism. 5 m 5 m 10 m
The fold crease Foldable Make a foldable for formulas for prisms and cylinders. Keep this in your notebook for reference. FORMULAS
FORMULAS The fold crease Foldable Fold over the top cut section and label each section on the outside. Do the same thing for the other shapes. Reopen the fold Rectangular Prism 6. Reopen the fold.
FORMULAS The fold crease Foldable Reopen the fold. *Draw each shape *Write the general formula for surface area of a rectangular prism. *Write the general formula for volume of A rectangular prism Rectangular Prism Triangular Prism Square pyramid Cylinder Compound Figures
SMILEY FACE METHOD FOR FINDING SURFACE AREA SA = ph + 2B Volume = Bh V = area of the base(h) *B=area of the base
Top Back Side 2 Side 1 Front Bottom Surface Area Height (H) Breadth (B) or width Length (L) Surface area is the area of each face added together. If you know the area of three faces, then you can find the total area because the area of the top and bottom are the same, the area of the front and back are the same and the area of the sides are the same.
The net of a rectangular prism. L H H L H B B B B L H H H L B B L
SA = ph + 2B SA =2πrh + 2 πr2 *The circumference of the circle is the length of the rectangle Volume = Bh V = area of the base(h) V = πr2h *B=area of the base is a circle
Volume = Bh *B is the area of the base
1. What are the dimensions of the base? 2. How many 1 cm cubes would it take to cover the base? (l x w) 3. How many layers of 1 cm cubes would it take to fill the prism? (l x w x h)
1. What are the dimensions of the base? 2. How many 1 cm cubes would it take to cover the base? (l x w) 3. How many layers of 1 cm cubes would it take to fill the prism? (l x w x h)
Summary : How does the area of the base affect the volume of a rectangular prism? Homework: Workbook page 76-complete in Workbook; and page 79, 1-6 complete on a Separate sheet and write answers in Workbook.