Solving 7th-grade math problems from pages 85-86 in Wing Kite Book 1 is an excellent study material for Exercise 2: Triangular Prism and Quadrilateral Prism, Chapter 3 Textbook. Refer to it to tackle exercises easily and reinforce your knowledge effectively.
Explore various quality math resources for Grade 7:
- Complete set: Solving 7th-grade math problems Wing Kite Book 1
- Solving 7th-grade math problems pages 98-99 in Knowledge Connection Book 2 - Exercise: 37 Triangular Prism and Quadrilateral Prism
- Solving 7th-grade math problems pages 57-58 in Horizon of Creativity Book 1 - Exercise 3: Triangular Prism - Quadrilateral Prism
Solving 7th-grade math problems from pages 85-86 in Wing Kite Book 1
Exercise 2. Triangular Prism and Quadrilateral Prism
1. Solve Exercise 1 Page 85 Textbook Grade 7 Mathematics
Problem: Find the appropriate number for the missing symbol in the table below:
Solution:
Based on the characteristics of the triangular prism and the quadrilateral prism, fill in the numbers in the table.
Answer:
2. Solve Exercise 2 Page 86 Textbook Grade 7 Mathematics
Problem: Choose the appropriate term 'correct (C)', 'incorrect (I)' for the missing symbol in the table below:
Guidance:
Based on the characteristics of the triangular prism and the quadrilateral prism to determine the correct and incorrect statements.
Answer:
3. Solve Exercise 3 Page 86 Textbook Grade 7 Mathematics
Problem: Given figures 32a, 32b, 32c:
(i) Which of the figures 32a, 32b, 32c is a triangular prism? Quadrilateral prism?
(ii) Calculate the lateral surface area of the triangular prism, quadrilateral prism in Figure 32.
(iii) Calculate the volume of the triangular prism, quadrilateral prism in Figure 32.
Guidance:
The lateral surface area of a vertical prism is equal to the perimeter of the base multiplied by the height.
The volume of a vertical prism is equal to the area of the base multiplied by the height.
Answer:
(i) In figures 32a, 32b, 32c, we see that Figure 32c is a triangular prism, and Figure 32a is a quadrilateral prism.
Figure 32b is not a triangular prism or a quadrilateral prism because its lateral faces are not rectangles.
(ii)
+) Triangular prism (Figure 32c)
Perimeter of the base is: 3 + 4 + 5 = 12 (cm)
Lateral surface area is: Sxq = 12.6 = 72 (cm2)
+) Quadrilateral prism (Figure 32a)
Perimeter of the base is: 2.(3 + 4) = 2.7 = 14 (cm)
Lateral surface area is: Sxq = 14.5 = 70 (cm2).
(iii)
+) Triangular prism (Figure 32c)
Volume of the triangular prism is: V = S.h = 6.6 = 36 (cm3)
+) Quadrilateral prism (Figure 32a)
Area of the base is: S = 3.4 = 12 (cm2)
Volume of the quadrilateral prism is: V = S.h = 12.5 = 60 (cm3).
Here is the solution for Grade 7 math problems on pages 85-86 of Wing Kite Book 1. It's a good study material for learning about triangular and quadrilateral prisms. Hopefully, students can do the exercises well after studying this lesson.
Reference Exercises:
- Solving Grade 7 Math Page 87 Book 1 Wing Kite - Chapter 3 review exercises
- Solving Grade 7 Math Page 94, 95 Book 1 Wing Kite - Exercise 1. Angle at special positions
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