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Solving Grade 7 Mathematics on page 102 of Volume 2 of the Connect Knowledge Book provides detailed and specific solutions for exercises 10.20, 10.21, 10.22, 10.23, 10.24, and 10.25 of Lesson Exercise at the end of Chapter X. Students can refer to this for cross-referencing their solutions, envisioning the best approach to solving the exercises.
Explore more excellent study materials for Grade 7 Mathematics:
- Solving Grade 7 Mathematics with Life Connections Book
- Solving Grade 7 Mathematics on page 96 of Volume 2 of Creative Horizon Book - Exercise at the end of Chapter 9
- Solving Grade 7 Mathematics on pages 119 and 120 of Volume 2 of Kite Book - Exercise at the end of Chapter 7
Solving exercises on page 102 of Volume 2, Connect Knowledge Book with Life Connections
Exercise at the end of Chapter X
1. Solving Exercise 10.20 Page 102 Mathematics Textbook Grade 7
Problem: A rectangular box is constructed using cardboard with a length of 20 cm, a width of 14 cm, and a height of 15 cm.
a) Calculate the volume of the box.
b) Determine the surface area of the cardboard used to make the box.
Solution Guide:
The volume of a rectangular prism = length x width x height.
The surface area of the cardboard used to make the box equals the total surface area of the rectangular prism.
Answer:
2. Solving Exercise 10.21 Page 102 Mathematics Textbook Grade 7
Problem: Calculate the volume, lateral surface area, and total surface area of the rectangular prism and the prism within the figure 10.43.
Solution Guide:
Volume = Area of base x height.
Lateral surface area = perimeter of base x height.
Total surface area = lateral surface area + area of two bases.
Answer:
The lateral surface area of the rectangular prism is:
2. (4 + 9) multiplied by 9 equals 234
Total surface area of the rectangular prism is:
234 plus 2 multiplied by 9 multiplied by 4 equals 306
Volume of the rectangular prism is:
9 multiplied by 4 multiplied by 9 equals 324
Lateral surface area of the prism is:
20 multiplied by (5 plus 12 plus 13) equals 600
Total surface area of the prism is:
Volume of the prism is:
3. Solving Exercise 10.22 Page 102 Mathematics Textbook Grade 7
Problem: Arranging some rectangular bricks into a cubic block with a side length of 20 cm as shown in figure 10.44.
a) Calculate the lateral surface area and total surface area of the cubic block.
b) Find the dimensions of each brick.
Solution Guide:
a) Lateral surface area = perimeter of base x height.
Total surface area = lateral surface area + area of two bases.
b) Observe the drawing, determine the length, width, and height of each brick.
Answer:
b) According to the drawing, we see that the length of the brick equals the side length of the cube. The width of the rectangular brick equals half the side length of the cube.
The width of the rectangular prism is:
20 divided by 2 equals 10 (cm)
The height of the brick equals one-fourth of the side length of the cube.
The height of the brick is:
20 divided by 4 equals 5 (cm)
So each brick has dimensions: length 20cm, width 10cm, height 5cm.
4. Solving Exercise 10.23 Page 102 Mathematics Textbook Grade 7
Problem: A rectangular-shaped room has a length of 5m, a width of 4m, and a height of 3m. People want to paint the walls and ceiling. How much area needs to be painted, knowing that the total area of the doors equals 5.8 m2?
Solution Guide: The area to be painted = the surrounding area of the room + the ceiling area - the area of the doors.
Answer:
5. Solving Exercise 10.24 Page 102 Mathematics Textbook Grade 7
Problem: A rectangular fish tank made of glass (without a lid) has a length of 80cm, a width of 50cm, and a height of 45cm. The initial water level in the tank is 35 cm.
a) Calculate the area of glass used to make the fish tank.
b) A decorative stone is placed into the tank, sinking completely underwater, causing the water level in the tank to rise to 37.5 cm. Calculate the volume of the stone.
Solution Guide:
a) The area of glass used to make the tank = the surrounding area + the base area.
b) The volume of the stone equals the volume of water displaced after the stone is thrown in.
Answer:
6. Solving Exercise 10.25 Page 102 Mathematics Textbook Grade 7
Problem: A cup shaped like a cylinder is filled with water. If 5 cubic-shaped stones with edges of 2 cm each are added to the cup, how much water overflows?
Solution Guide: The volume of overflowing water equals the total volume of the 5 stones.
Answer:
Here is the solution for Grade 7 Mathematics on page 102 of the Connect Knowledge Textbook. Students can review and solve the Grade 7 Mathematics Exercise on page 101 and prepare well for solving Mathematics Exercise on pages 110, 111, 112, and 113 to grasp the knowledge firmly.
- Grade 7 Mathematics Exercise on page 101 of the Connect Knowledge Textbook - Practice on page 101
- Grade 7 Mathematics Exercise on pages 110, 111, 112, 113 of the Connect Knowledge Textbook - End-of-year review exercises
