Solving Grade 5 Mathematics Page 118 Workbook: Volume, Exercise 1, 2, 3

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Guidance for solving Grade 5 Mathematics Page 118 (including solving methods)

1. Solving Exercise 1 - Grade 5 Mathematics Page 118

Exercise:
a) Read the measurements: 15m³; 205m³; 25/100m³; 0.911m³
b) Write the volume measurements: seven thousand two hundred cubic meters; four hundred cubic meters; one eighth cubic meter; zero point zero five cubic meters.

Solving Method:
Refer to the guidance in Solving Exercise 1 on pages 116, 117 of Grade 5 Mathematics Workbook.
- Reading method: Read like reading natural numbers/ decimals/ regular fractions, then add the unit name cubic meter.
- Writing method: Write like writing regular natural numbers, from high place value to low place value, counting from left to right, then add the symbol m3 after the numbers found.

Answers:
a) 15m³: fifteen cubic meters.
205m³: two hundred and five cubic meters.
25/100m³: twenty-five hundredths cubic meter.
0.911m³: zero point nine one one cubic meters.
b) 7200m³; 400m³; 1/8m³; 0.05m^3.

2. Solving Exercise 2 - Grade 5 Mathematics Page 118 Workbook

Exercise:
a) Write the measurements below in liter - deciliter - cubic meters form: 1cm³; 5.216cm³; 13.8m³; 0.22m³.
b) Write the measurements below in liter - deciliter - cubic meters form: 1dm³; 1.969dm³; 1/4m³; 19.54m³.

Solving Method:
According to the volume measurement table, the order of volume units is: m³; dm³; cm³
- Conversion method of volume units: 
+ 1m³ = 1000 dm³
+ 1dm³ = 1000cm³

Answers:
a) 1cm³ = 0.001dm³ (or 1/1000dm³)
5.216m³ = 5216dm³
13.8m³ = 13800dm³
0.22m³ = 220dm³
b) 1dm³ = 1000cm³
1.969dm³ = 1969cm³
1/4m³ = 0.25m³
19.54m³ = 19540dm³

3. Solving Exercise 3 - Grade 5 Mathematics Page 118 Workbook

Exercise:
A rectangular box is made from cardboard. It is known that the box has a length of 5dm, a width of 3dm, and a height of 2dm. How many 1dm³ cubic cubes can be placed to fill the box?

Solving Method:
- Step 1: Place cubic cubes with a side length of 1dm into the box one by one, filling it with two layers.
- Step 2: Calculate the number of cubic cubes with a volume of 1dm³ in one layer by multiplying the length by the width of the rectangular box.

Answer:
We can arrange two layers, each layer consisting of:
5 x 3 = 15 (1dm³ cubic cubes)
Hence, the total number of cubes that can be arranged is:
15 x 2 = 30 (1dm³ cubic cubes)

Answer: 30 (1dm³ cubic cubes) 

Guidance for solving Grade 5 Mathematics Page 118 (concise)

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Here is the Grade 5 Mathematics Page 118 solution in the Grade 5 math exercises solving section. Students can review the solutions for Grade 5 Mathematics Page 116, 117 previously solved or preview the solutions for Grade 5 Mathematics Page 119 to study Grade 5 Mathematics better.