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Solving Grade 7 Math Problems Pages 57-58 Workbook 1 Bright Horizon Series provides guidance on solving exercises involving triangular and quadrilateral prisms in the textbook. Students are encouraged to understand the problem-solving methods and grasp the lesson concepts thoroughly.
Explore multiple Grade 7 Math resources:
- Complete set of Bright Horizon Grade 7 Math Solutions
- Solving Grade 7 Math Problems Page 39 Workbook 1 Knowledge Connection Series - Last exercises of Chapter 2
- Solving Grade 7 Math Problems Page 58 Workbook 1 Kite Series - Exercise 6. Equal ratio series
Solving Grade 7 Math Problems Pages 57-58 Workbook 1 Bright Horizon Series
Triangular and Quadrilateral Prism
1. Solve Exercise 1 Page 57 Mathematics Grade 7
Problem Statement: Examine the triangular prism in Figure 6. Find the lengths of the edges:
a) AA', CC', A'B', A'C' (Figure 6a).
b) Determine QH, PG, NF, PQ (Figure 6b).
Solution Guide:
Observe the diagram, identify the lengths of the edges.
Answer:
a) AA' measures 9cm; CC' measures 9cm, A'B' measures 4cm, A'C' measures 3cm.
b) QH measures 7cm, PG measures 7cm, NF measures 7cm, PQ measures 4cm.
2. Solve Exercise 2 Page 57 Mathematics Grade 7
Problem Statement: Observe two standing prisms in Figure 7.
a) Identify the base and lateral faces of each prism.
b) In figure 7a, which edges correspond to BE? In figure 7b, which edges correspond to MQ?
Solution Guide:
The lateral faces of the prism are rectangles. Utilize the properties of rectangles: opposite sides are equal.
Answer:
a) In figure 7a: Base: ABC and DEF.
Lateral faces: ABED, BCFE, ACFD
In figure 7b: Base: ABCD, MNPQ
Lateral faces: ABNM, BCPN, CDQP, ADQM.
b) In Figure 7a, edge BE = AD = CF
In Figure 7b, edge MQ = NP = BC = AD
3. Solve Exercise 3 Page 57 Mathematics Grade 7
Problem Statement: The cover sheet in Figure 8 can be formed into a right triangular prism. Determine the lengths of the two perpendicular sides of the base and the height of the prism.
Solution Guide:
Construct a right triangular prism.
Answer:
The formed right triangular prism is:
The lengths of the two perpendicular sides of the base are: 10 cm and 15 cm.
The height of the prism is: 16 cm.
4. Solve Exercise 4 Page 57 Mathematics Grade 7
Problem Statement: Create a triangular prism with dimensions as shown in figure 9.
Solution Guide:
Observe the diagram, determine the height, and the lengths of the base edges of the triangular prism.
Draw the shape on a piece of cardboard, cut, and fold it into a triangular prism.
Answer:
On a piece of cardboard, draw three rectangles and two triangles with dimensions as shown below.
Cut the cardboard as shown in the drawing and fold along the dashed lines, resulting in a triangular prism as shown in figure 9.
5. Solve Exercise 5 Page 58 Mathematics Grade 7
Problem Statement: Create a quadrilateral prism with a rhombus base of side length 5 cm and a height of 7 cm (Figure 10).
Solution Guide:
Observe the diagram, determine the height, and the lengths of the base edges of the quadrilateral prism.
Draw the shape on a piece of cardboard, cut, and fold it into a quadrilateral prism.
Answer:
On a piece of cardboard, draw four rectangles and two rhombuses with dimensions as shown below.
Cut the cardboard as shown in the drawing and fold along the dashed lines, resulting in a quadrilateral prism as shown in figure 10.
6. Solve Exercise 6 Page 58 Mathematics Grade 7
Question: From a sheet of paper like in Figure 11, a vertical prism with a trapezoid base can be created.
Find: Determine the height of the prism.
Solution Guide:
The height of the vertical prism is the side not lying on the base.
Answer:
The height of the vertical prism is: 6 cm
Here is the solution for Grade 7 Math problems on pages 57 and 58 of Workbook 1 from the Bright Horizon series. We hope students can easily solve the exercises on triangular and quadrilateral prisms.
Reference:
- Grade 7 Math Solution for pages 62 and 63 Workbook 1 from the Bright Horizon series - Exercise 4: Surface area and volume of triangular and quadrilateral prisms
- Grade 7 Math Solution for pages 66 and 67 Workbook 1 from the Bright Horizon series - Last exercises of Chapter 3
