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Solving Math Grade 7 Page 101 Workbook 2 Connect Knowledge with is a comprehensive guide to solve exercises 10.17, 10.18, 10.19 in the textbook Practice. The presentation is systematic and detailed, aiding students in understanding the concepts and applying similar methods to other exercises.
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Solving Math Grade 7 Page 101 Volume 2 book Connect Knowledge with Life
Luyện tập
1. Solve Exercise 10.17 Page 101 Math Grade 7
Problem: Write the names of the vertices, edges, lateral faces, and base of the rectangular pyramid in figure 10.40.
Solution: Observe the diagram to answer the question.
Answer:
Vertical prism shape MNPQ.M'N'P'Q'.
+ 8 vertices: M, N, P, Q, M', N', P', Q'.
+ 12 edges: MN, MQ, NP, PQ, M'N', M'Q', N'P', P'Q', MM', NN', PP', QQ'.
+ 4 lateral faces: MNN'M', NPP'N', PQQ'P', MQQ'M'.
+ 2 base faces: MNPQ, M'N'P'Q'.
2. Solve Exercise 10.18 Page 101 Mathematics Textbook Grade 7
Problem: A sweet cake has the shape of a triangular prism, with dimensions as shown in figure 10.41.
a) Calculate the volume of the cake.
b) If a snug-fitting box has to be made for this cake, what is the required material area (ignoring the negligible thickness of the edges).
Solution Guide:
The volume of the vertical prism is equal to the area of the base multiplied by the height.
The material area needed to make the box is the total surface area of the cake.
Answer:
a) The volume of the cake is the volume of the prism with a triangular base having two legs of the right angle equal to 6cm and 8cm.
The volume of the prism is:
3. Solve Exercise 10.19 Page 101 Mathematics Textbook Grade 7
Problem: A trench is dug in the form of a quadrilateral prism as shown in figure 10.42. Given that the trench has a length of 20m, depth of 1.5m, surface width of 1.8m, and the base of the trench is 1.2m wide. Calculate the volume of the excavated soil.
Solution Guide:
The volume of the excavated soil is precisely the volume of the quadrilateral prism ABCD. A'B'C'D'.
The volume of the vertical prism is equal to the area of the base multiplied by the height.
Answer:
Here is the guidance for solving math class 7 page 101 volume 2. Students can refer to the solution for math class 7 page 102 volume 2 and review the solution for math class 7 page 98 volume 2 for a solid understanding.
- Solve Math class 7 page 102 volume 2 Connect Knowledge - End of Chapter Exercises 10
- Solve Math class 7 page 98, 99 volume 2 Connect Knowledge - Exercise 37: Vertical triangular prism and quadrilateral prism
