Complete the following steps to put together Jeremy’s puzzle and see what can be learned from it.

1. Cut out all the nets carefully. Fold along the inside lines and tape edges together to form 5 figures. Describe the figures formed. What shapes are they? Are any the same?

2. Jeremy’s puzzle will form a rectangular prism. Figure out how the pieces can all be put together to form a prism. Give the dimensions and volume of the prism.

3. What does the fact that the figures fit together to make the prism tell you about their combined volume?

The photos included with this question are the nets that are supposed to be printed and built into 3D shapes and used to answer "Jeremy's Puzzle"

Question

cheryldagel cheryldagel

12-01-2019
Mathematics

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Complete the following steps to put together Jeremy’s puzzle and see what can be learned from it.

1. Cut out all the nets carefully. Fold along the inside lines and tape edges together to form 5 figures. Describe the figures formed. What shapes are they? Are any the same?

2. Jeremy’s puzzle will form a rectangular prism. Figure out how the pieces can all be put together to form a prism. Give the dimensions and volume of the prism.

3. What does the fact that the figures fit together to make the prism tell you about their combined volume?

The photos included with this question are the nets that are supposed to be printed and built into 3D shapes and used to answer "Jeremy's Puzzle"

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Professor1994 Professor1994 · Answer 1 · 2019-01-13T22:52:53+01:00

Answer:

1. The figure formed are pyramids with rectangular base. The figure B is the same that figure C, and the figure D is the same that figure E.

2. Jerremy's puzzle form a rectangular prism with rectangular base of 6 units x 8 units and height of 10 units. The volume of the prism is 480 units^3.

3. The sum of the volume of the five figures (combined volume) is equal to the volume of the rectangular that they form when we fit them together.

Step-by-step explanation:

1. The figure formed are pyramids (see the first attached file).

A: Pyramid with rectangular base 6 units x 8 units

B: Pyramid with rectangular base 6 units x 10 units and height 4 units

C: Pyramid with rectangular base 6 units x 10 units and height 4 units

D: Pyramid with rectangular base 8 units x 10 units and height 3 units

E: Pyramid with rectangular base 8 units x 10 units and height 4 units

The figure B is the same that figure C, and the figure D is the same that figure E.

2. Jerremy's puzzle form a rectangular prism (see the second attached file) with rectangular base of 6 units x 8 units and height of 10 units.

Width: w=6 units

Length: l=8 units

Height: h=10 units

Volume of the prism: V=Ab*h

Area of the base: Ab=w*l→Ab=(6 units)*(8 units)→Ab=48 units^2

V=Ab*h→V=(48 units^2)*(10 units)→V=480 units^3

3. The sum of the volume of the five figures (combined volume) is equal to the volume of the rectangular that they form when we fit them together.