This handy Math in Focus Grade 6 Workbook Answer Key Chapter 12 Lesson 12.1 Nets of Solids detailed solutions for the textbook questions.
Math in Focus Grade 6 Course 1 B Chapter 12 Lesson 12.1 Answer Key Nets of Solids
Math in Focus Grade 6 Chapter 12 Lesson 12.1 Guided Practice Answer Key
Hands-On Activity
IDENTIFYING A CUBE FROM A NET
Work in pairs.
Step 1: Trace and cut out each figure.
Step 2: Try and fold them into cubes.
Math Journal Can you fold all the above figures into cubes? Discuss with your partner and explain your thinking.
Answer:
The figure (a) can be folded into cube
The figure (b) can also be folded into cube.
The figure (c) cannot be folded into cube.
Hands-On Activity
IDENTIFYING A PRISM FROM A NET
Work in pairs.
Step 1: Trace and cut out each net along the solid lines, Predict what figure can be formed from the net. Then fold the net to make the figure.
Step 2: Name the solid that each net forms
Answer:
If the figure (a) is folded, it will form a square cube.
If the figure (b) is folded, it will form into a rectangular cuboid.
If the figure (c) is folded, it will form into a triangular prism.
If the figure (d) is folded, it will form into a triangular prism.
Match each solid with its net(s). There may be more than one net of each solid.
Question 1.
Answer:
The first solid can have similar of b,f nets. Hence it can be matched with b,f nets.
The second solid have similar of a,e nets. Hence it can be matched with a,e nets.
The third solid have similar of c,d nets. Hence it can be matched with c,d nets.
Name the solid that each net forms.
Question 2.
Answer:
A cuboid can be formed when the above solid is folded.
Therefore, a cuboid is formed from the given net form.
Question 3.
Answer:
A cube can be formed when the above solid is folded.
Therefore, a cube is formed from the given net form.
Question 4.
Answer:
A triangular prism can be formed when the above solid is folded.
Therefore, a triangular prism is formed from the given net form.
Hand-On Activity
CLASSIFYING PYRAMIDS
Work in pairs
Step 1: Trace, cut out, and fold the nets.
Step 2: Name the solid that each net forms.
Answer:
When the nets in figure(a) is folded, it will form a triangular prism.
When the nets in figure(b) is folded, it will form a square prism.
Match each solid with its net(s). There may be more than one net of each solid.
Question 5.
Answer:
The first solid can have similar of a,c nets. Hence it can be matched with a,c nets.
The second solid can have similar of b nets. Hence it can be matched with b nets.
Math in Focus Course 1B Practice 12.1 Answer Key
Name each solid. In each solid, identify a base and a face that is not a base.
Question 1.
Answer:
The above figure is a pyramid since the sides meet at one point.
There is one base for the given figure, which has four equal sides.A base with four equal sides means the base is a square which is BECD.
A face with three sides means the base is a triangle. There are four faces which are not bases. The triangular faces for the given figure are BAE,ACD,AED and BEA.
Question 2.
Answer:
This figure is a prism since it has two ends that are the same shape.
There are two bases for the given figure, both with three sides. A base with three sides means the base is a triangle. The triangular bases for the given figure will be GFH and JKL.
The faces have four sides or two parallel sides. There are three faces which are not bases. The faces are FJKG, FHLJ and GHLK.
Question 3.
Answer:
The above figure has all equal sides and thus form a cube.
There are two bases for the given figure, both with four equal sides. A base with four equal sides means the base is a square which will be PSRQ and TWVU.
The faces have four equal sides. The square faces will be RSWV, SPTW, PQUT and QRVU.
Question 4.
Answer:
This figure is a prism since it has two ends that are the same shape.
There are two bases for the given figure, both with three sides. A base with three sides means the base is a triangle. The triangular bases for the given figure will be ABC and EFD.
The faces have four sides or two parallel sides. There are three faces which are not bases. The faces are AEDC, AEFB and BFCD.
Name the solid that each net forms.
Question 5.
Answer:
The above given figure has four triangles and a square.
Since all the sides meet a point, it can be a pyramid.
When the above given solid is folded it will form a square pyramid.
Question 6.
Answer:
The above given figure has four rectangles and two squares.
When the above given solid is folded it will form a polyhedron.
Question 7.
Answer:
The above given figure has three rectangles and two triangles.
Since it has two ends that are of the same shape.It can be a prism.
When the above given solid is folded it will form a triangular prism.
Question 8.
Answer:
The above given figure has four triangles.
Since all the sides meet a point, it can be a pyramid.
When the above given solid is folded it will form a triangular pyramid.
Decide if each net will form a cube. Answer Yes or No.
Question 9.
Answer:
No, the above net will not form a cube.
If the above net is folded , it will not form the shape of cube.
Question 10.
Answer:
Yes, the above net can be formed into a cube.
If the above net is folded , it will take the shape of cube.
Question 11.
Answer:
No, the above net will not form a cube.
If the above net is folded , it will not form the shape of cube.
Question 12.
Answer:
Yes, the above net can be formed into a cube.
If the above net is folded , it will take the shape of cube.
Question 13.
Answer:
No, the above net will not form a cube.
If the above net is folded , it will not form the shape of cube.
Question 14.
Answer:
Yes, the above net can be formed into a cube.
If the above net is folded , it will take the shape of cube.
Solve. Use graph paper.
Question 15.
In Exercises 9 to 14, you identified some possible nets for a cube. There are other possible nets. Find all of the other possible nets.
Answer:
Each net has 6 squares that when folded properly form the six faces of a cube.
Decide if each net will form a prism. Answer Yes or No.
Question 16.
Answer:
Since it has two ends that are of the same shape.It can be a prism.
Yes, the above given net can form a prism.
Question 17.
Answer:
Since it has two ends that are of the same shape.It can be a prism.
Yes, the above given net can form a prism.
Question 18.
Answer:
No, the above given net can form a prism.
Copy the net of the rectangular prism shown. Then name the vertices that are not already labeled with a letter. Label the vertices.
Question 19.
Answer:
