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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) =

Volume of Rectangular Prisms

Objective: To find the volume of rectangular prisms.

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?

Volume of Rectangular Prisms

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

Volume of Rectangular Prisms

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

How many faces does this figure have?

Volume of Rectangular Prisms

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?

Volume of Rectangular Prisms

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?

Volume of Rectangular Prisms

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?

Volume of Rectangular Prisms

What would this be called?

This is a square prism, sometimes called a cube.

Volume of Rectangular Prisms

What would this be called?

Volume of Rectangular Prisms

What would this be called?

Volume of Rectangular Prisms

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 of Rectangular Prisms

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

Volume of Rectangular Prisms

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

Volume of Rectangular Prisms

Find the volume of the rectangular prism.

V = lwh

V = 5 · 5 · 5

V = 125in³

Volume of Rectangular Prisms

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.

Volume of Rectangular Prisms

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.

Volume of Rectangular Prisms

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

Do this on your own.

Volume of Rectangular Prisms

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

Volume of Rectangular Prisms

Find the volume of the cereal box.

V = lwh

V = 8 · 12.5 · 3.25

V = 325in³

Volume of Rectangular Prisms

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.

Volume of Rectangular Prisms

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

Volume of Rectangular Prisms

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

Do this on your

own.

Volume of Rectangular Prisms

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.

Volume of Rectangular Prisms

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

Volume of Rectangular Prisms

Agenda Notes

Homework–

Homework Practice 10-1

You can use calculators

Due Wednesday, Feb 19

Mid-Chapter 10 Quiz –Thursday, Feb 20

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