7th Grade Math

(Marvins-Underground-K-12) #1
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Composite Figures


PART A B C


Multi-Part
Lesson 3

Addresses
GLE 0706.1.8.

604 Volume and Surface Area

Main Idea
Explore volume and
surface area of
composite figures.

Vocabulary
composite figure

Composite Figures


ARCHITECTURE A company

6 cm

4 cm

2 cm

2cm 22 cmcmc
111 cmcmcm

made a model of a new^
office building. The building
is composed of rectangular
prisms. Create a model
of the building using
centimeter cubes to find the
volume and surface area.
A composite figure is made up of two or more three-dimensional
figures.

What do you need to find? the volume and surface area of the
model office building

Model the top and bottom rectangular prisms
using models.

Bottom Top

Copy and complete the table using the models from
Step 1. Count the cubes to find the dimensions.
Length
(cm)

Width
(cm)

Rectangular
Prism
Bottom
Top

6
4

1
1

2
2

Volume
(cm^3 )

Surface
Area (cm^2 )

Height
(cm)

Copy the table and use the models from Step 1 to find
the total volume of the model.

the Results



  1. How many cubes did it take to create the model? What does this
    number represent?

  2. What is the total surface area of both prisms?

  3. What is the total surface area of the model? Explain.


V
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604_610_C10_L3_895130.indd 604 1/4/10 3:04 PM

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