Solving Grade 5 Math Problems, Pages 33-34, VBT Workbook 2, Practice Set 113

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.

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

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

- 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.

a. 903,436672m³ = 903436.672dm³ = 903436672cm³

b. 12,287m³ = 12287/1000 m³ = 12287 dm³

c. 1728279000cm³ = 1728279dm³

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

- 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.

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.