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3-18-13 Volume of a Rectangular Prism

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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

The fold crease

Make a foldable for

formulas for prisms and cylinders.

Keep this in your notebook for reference.

FORMULAS

FORMULAS

The fold crease

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

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.

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)

Complete practice problems

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.