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Grade 7 Math Solving, Page 87, Book 1 Wings D: Review exercises Chapter III have been guided to solve exercises 1, 2, 3, 4, 5 according to the curriculum in the textbook. Students can compare and refer to their solutions to ensure correctness or correct mistakes, thereby understanding the process better.
Explore various Grade 7 Math study materials:
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Solving Grade 7 Math, Page 87, Book 1 Wings D
Chapter III Review Exercises
1. Solve Exercise 1 Page 87 Math Textbook Grade 7
Problem Statement: Choose the appropriate term 'correct (C)', 'incorrect (I)' for ? in the table below:
How to solve:
Identify the correct and incorrect statements based on the characteristics of the rectangular prism and cube.
Answer:
2. Solve Exercise 2 Page 87 Math Textbook Grade 7
Problem Statement: a) Given a right triangular prism with a lateral edge length of 10 cm and the base as a triangle. Knowing the triangle has side lengths of 4 cm, 5 cm, 6 cm respectively. Calculate the lateral surface area of the given right triangular prism.
b) Given a right triangular prism with a lateral edge length of 20 cm and the base as a trapezoid. Knowing the trapezoid has a lateral side length of 13 cm, the length of the two bases respectively are 8 cm, 18 cm and the height is 12 cm. Calculate the total surface area (sum of all surfaces) of the given right triangular prism.
How to solve:
Surface area = perimeter of the base x height.
Total surface area = surface area + area of two bases.
The answer is:
3. Solving Exercise 3 on Page 87 of Math Textbook for Grade 7
a) A cube with a side length of 3 cm. Calculate the volume of this cube.
b) A new cube has a side length twice that of the original cube. Calculate the volume of the new cube and determine how many times the volume of the new cube is greater than the volume of the original cube.
Guidance for solution:
The volume of a cube with side length a is a3.
Solution:
4. Solving Exercise 4 on Page 87 of Math Textbook for Grade 7
Problem 5 from Page 87 of Math Textbook Grade 7
Given a house structure as shown in Figure 34. Calculate the volume of the space bounded by the house.
Instructions: Divide the space into two parts: a rectangular prism-shaped space and the remaining space in the form of a triangular prism.
Solution:
The volume of a prism is the product of its base area and height.
Solution:
Here, Mytour has provided guidance on solving Grade 7 Math, Page 87. You can refer to the solution for the next lesson to prepare better.
