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# 5 Minute Check - PowerPoint PPT Presentation

5 Minute Check. Complete in your notebook. 1. 16 · 2.5 · 8 = 2. 3 · 5.5 · 13 = 3. 9.8 · 4 · 15 = 4. (3 · 12) + ( 4 · 2) = 5. (9 · 7 ) + ( 6 · 4) = 6. (15 · 3 ) + ( 8 · 7) =. 5 Minute Check. Complete in your notebook. 1. 16 · 2.5 · 8 =. 5 Minute Check.

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1. 16 · 2.5 · 8 =

2. 3 · 5.5· 13 =

3. 9.8 · 4· 15 =

4. (3 · 12) + ( 4 · 2) =

5. (9 · 7) + ( 6 · 4) =

6. (15 · 3) + ( 8 · 7) =

1. 16 · 2.5 · 8 =

1. 16 · 2.5 · 8 = 320

2. 3 · 5.5· 13 =

2. 3 · 5.5· 13 = 214.5

3. 9.8 · 4· 15 =

3. 9.8 · 4· 15 = 588

4. (3 · 12) + ( 4 · 2) =

4. (3 · 12) + ( 4 · 2) = 44

5. (9 · 7) + ( 6 · 4) =

5. (9 · 7) + ( 6 · 4) = 87

6. (15 · 3) + ( 8 · 7) =

6. (15 · 3) + ( 8 · 7) = 101

Chapter 10.1

Volume of Rectangular Prisms

Objective: To find the volume of rectangular prisms.

At the end of this lesson you should be able to answer the following question.

Why are there two formulas to find the volume of a rectangular prism?

Three-dimensional figures are shapes with length, width and height.

A face is the flat side of any three-dimensional figure .

How many faces does this figure have?

An edge is where two faces meet.

How many edges does this figure have?

A vertex is a point where at least three faces meet.

How many vertices does this figure have?

How many edges does this shape have?

A prism is a three-dimensional figure with two parallel and congruent polygonal faces. These parallel

faces are called

bases.

What shape are the bases in the figure?

How many edges does this shape have?

The shape of the base determines the name of the prism.

This called a triangular prism.

Volume of Rectangular Prisms

What would this be called?

What would this be called?

This is a square prism, sometimes called a cube.

What would this be called?

What would this be called?

Pentagonal Prism

What would this be called?

What would this be called?

Rectangular prism

There are also figure called pyramids and the base of the pyramid determines the name.

Volume of Rectangular Prisms

A square pyramids has a base of a square.

Volume is the amount of space inside a three- dimensional figure.

The volume of a rectangular prism is V = length· width ·height, or V = lwh.

Find the volume of the rectangular prism.

Find the volume of the rectangular prism.

V = lwh

V = 5 · 5 · 5

V = 125in³

Find the volume of the rectangular prism.

Find the volume of the rectangular prism.

V = lwh

V = 6 · 4 · 10

V = 240ft³

It does not matter which order the numbers are in, the answer will still be the same.

The volume of a rectangular prism can also be determined by multiplying the area of the base (B) by the height.

V = Bh

B represents the area of the base of the rectangular prism.

If a bedroom is a rectangular prism and has an area of130ft², what would the volume be if the height was 8ft?

If a bedroom is a rectangular prism and has an area of130ft², what would the volume be if the height was 8ft?

V = Bh

V = 130 · 8

V = 1040 ft³

Find the volume of the cereal box.

Find the volume of the cereal box.

V = lwh

V = 8 · 12.5 · 3.25

V = 325in³

The glass container shown is filled with sand to a height of 2.25 inches. How much sand is in the container?

Do this on your

own.

The glass container shown is filled with sand to a height of 2.25 inches. How much sand is in the container?

V = lwh

V = 5 · 4.5 · 2.25

V = 50.625in³ or

50 in³

If each side of the aquarium is doubled, is the volume doubled?

Do this on your

own.

If each side of the aquarium is doubled, is the volume doubled?

V = lwh

V = 3 · 2· 2

V = 12ft³

V₁= 6 · 4 · 4

V₁= 96ft³

The volume increase by 2³, or 8 times.

Why are there two formulas to find the volume of a rectangular prism?

Agenda Notes

Homework–

Homework Practice 10-1

You can use calculators

Due Wednesday, Feb 19

Mid-Chapter 10 Quiz –Thursday, Feb 20