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This guide provides the most detailed solutions and guidance for Exercise 108, helping students understand the process and apply their knowledge effortlessly.
Solving 5th Grade Math, Page 27 VBT Exercise 2, Practice Set, Problem 108
Solving Exercise 1 - Workbook for 5th Grade Mathematics Exercise 2, Page 27
Problem Statement:
Fill in the blanks with appropriate measurements:
Solution Approach:
Apply the following formulas:
Surface area = area of one face x 4 = side x side x 4.
Total surface area = area of one face x 6 = side x side x 6.
Answer
The surface area of a cube with a side length of 2m is:
16 square meters
The total surface area of a cube with a side length of 2m is:
24 square meters
The surface area of a cube with a side length of 1m 5cm is:
1m 5cm equals 1.05m
The surface area of a cube with a side length of 1m 5cm is:
The total surface area of a cube with a side length of 1m 5cm is:
6.615 square meters
Surface area of a cube with a side length of 2/5 dm:
16/25 square dm
Total surface area of a cube with a side length of 2/5 dm:
24/25 square dm
Here is the resulting table:
2. Solving Exercise 2 - Workbook for 5th Grade Mathematics Exercise 2, Page 27
Problem Statement:
A box without a lid is made from hardcover material in the form of a cube with a side length of 1.5dm. How much material area is needed to make the box in square decimeters (excluding the adhesive edge)?
Solution Approach
Since the box has no lid, the required material area to make the box is 5 times the area of one face.
Answer
Area of one face of the cube:
(1.5 ⨯ 1.5) = 2.25 (dm2)
The required material area to make the box is:
2.25 ⨯ 5 = 11.25 (dm2)
Answer: 11.25 dm2
3. Solve Problem 3 - Workbook for Grade 5 Math Exercise 2 Page 27
Problem:
The total surface area of the first cube is 54 cm2, and the total surface area of the second cube is 216 cm2. How many times longer is the side length of the second cube compared to the side length of the first cube?
Solution Approach
The area of one face of the first cube is:
54 ÷ 6 = 9 (cm2)
Since 3 x 3 = 9, therefore the side length of the first cube is 3cm.
The area of one face of the second cube is:
216 ÷ 6 = 36 (cm2)
Since 6 x 6 = 36, therefore the side length of the second cube is 6cm.
The side length of the second cube is multiplied by the side length of the first cube this many times:
6 ÷ 3 = 2 (times)
Answer: 2 times
You are currently viewing instructions for Solving math problems for grade 5 on page 27 VBT exercise book 2 Practice exercise 108, you can review the instructions for Solving math problems for grade 5 on page 26 VBT exercise book 2 Surface area and total area of a cube or preview the instructions for Solving math problems for grade 5 on pages 28, 29 VBT exercise book 2 Comprehensive practice to understand more about the lesson.
Wishing you all success in studying math.
