Solving Grade 5 Math Problems, Pages 33-34, VBT Workbook 2, Practice Set 113 provides detailed solution guides and answers for exercises 1, 2, 3, enabling students to easily compare their work, understand solution methods, and apply knowledge to problems. This helps students tackle various types of exercises related to cubic meters, cubic decimeters, and cubic centimeters.
Solving Grade 5 Math Problems, Pages 33-34, VBT Workbook 2, Practice Set 113
1. Solve Problem 1 - Math Exercise Book for Grade 5, Workbook 2, Page 33
Problem Statement:
a. Write the readings for the following measurements:
208cm3 ; 10,215cm3; 0.505dm3;
208cm3 :.......................................
10,215 cubic centimeters: .....................................
0.505 cubic decimeters: .....................................
2/3 cubic meters: .....................................
b. Write the following measurements:
One thousand eight hundred and eighty cubic meters : .........
Two thousand ten cubic meters : .........
Nine hundred fifty-nine cubic meters : .........
Seven-tenths of a cubic decimeter : .........
Methodology
Read (or write) the volume measurement first, then read (or write) the unit of volume measurement afterward.
Answer
a. 208cm3 is read as two hundred eight cubic centimeters.
10,215cm3 reads as ten point two one five cubic centimeters.
0,505dm3 reads as zero point five zero five cubic decimeters.
2/3 m3 reads as two-thirds cubic meters.
b. Write the following measurements:
One thousand nine hundred eighty cubic centimeters: 1980cm3
Two thousand ten cubic meters: 2010m3
Zero point nine five nine cubic meters: 0.959m3
Seven-tenths cubic decimeters: 7/10 dm3
2. Solving problem 2 - Math workbook for grade 5, exercise 2, page 34
Problem Statement:
Write the appropriate numbers in the blanks:
a. 903,436672 cubic meters = ......... cubic decimeters = ......... cubic centimeters
b. 12,287m3 = 12,287/1000 m3= 12.287 dm3
c. 1728279000cm3 = 1728279 dm3
Solution Method
- 1m3 = 1000dm3, therefore to convert a number from cubic meters to cubic decimeters, we just need to multiply that number by 1000.
- 1dm3 = 1000cm3, so to convert a number from cubic decimeters to cubic centimeters, we just need to multiply that number by 1000.
- 1m3 = 1,000,000cm3, so to convert a number from cubic meters to cubic centimeters, we just need to multiply that number by 1,000,000.
Answer
a. 903,436672m3 = 903436.672dm3 = 903436672cm3
b. 12,287m3 = 12287/1000 m3 = 12287 dm3
c. 1728279000cm3 = 1728279dm3
3. Solve problem 3 - Math exercise book for grade 5, workbook 2, page 34
Problem Statement:
The box-shaped container has dimensions of length 5dm, width 3dm, and height 4dm. Cubic boxes with a side length of 1dm are placed inside the container. How many boxes can be stacked to fill the container completely?
A. 36 boxes
B. 60 boxes
C. 64 boxes
D. 80 boxes
Solution Method
- Stack cubic boxes with a side length of 1dm into the container successively, after stacking 4 layers of 1dm cubic boxes, the container is filled exactly.
- Calculate the number of cubic boxes in 1 layer: 5 x 3 = 15 cubic boxes.
- Number of cubic boxes needed to fill the container = number of cubic boxes in 1 layer x 4.
Answer
The volume of the rectangular box is:
4 ⨯ 5 ⨯ 3 = 60 (dm3)
The volume of a cubic box is:
1 ⨯ 1 ⨯ 1 = 1 (dm3)
After stacking 4 layers of cubic boxes with 1dm edges, the box is filled exactly.
Each layer has: 5 ⨯ 3 = 15 (cubic boxes)
There are: 15 ⨯ 4 = 60 (cubic boxes) in total.
So we circle letter B.
You are viewing the instructions for solving Grade 5 math problems on pages 33 and 34 of VBT workbook 2, Exercise 113. You can review the instructions for solving Grade 5 math problems on pages 32 and 33 of VBT workbook 2 - Cubic Meters, or preview the instructions for solving Grade 5 math problems on pages 34 and 35 of VBT workbook 2 - Rectangular Box Volume to understand more about the lesson.
Wishing you success in studying mathematics.
