Worksheet: Composing and Decomposing 3D Shapes

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In this worksheet, we will practice how to compose 3D shapes to make a composite shape and decompose composite shapes into smaller shapes.

Q1:

Daniel and Natalie have both built a model out of shapes. Daniel has used fewer cubes than Natalie.

Which picture is Natalie’s?

Q2:

How many cones are there?

Q3:

Determine the two-dimensional figure that results from slicing the given three-dimensional shape as shown.

Q4:

Isabella has these shapes.

Pick the model she can make with all the shapes.

Hint: Her shapes might be of different colors.

Q5:

James and Jennifer made models from the same group of shapes.

Their shapes were different colors.

James added one more shape to his model.

Which shape did he add?

Q6:

Sophia made a model using the same shapes as Noah. Her shapes were different colors. Pick the model that Sophia made.