Measuring Volume in Cubic

​VOLUME,CAPACITY, AND MASS

Subject | Math

Volume, Capacity, and Mass

​Revision of the previous lesson

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Volume is the amount of space occupied by an object or substance. Commonly used volume measurements are the cubic centimetre and the cubic metre.

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Capacity refers to the amount a container can hold and is usually associated with liquid.

1 000 millilitres = 1 Litre 1 000 mL = 1 L

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Mass measures how much matter is in an object. We usually measure this by finding out what the object weighs.

Common measurements are grams (g), kilograms (kg) and tonnes (t). There are 1000 g in a kilogram and 1000 kg in a tonne.

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Relationship among volume, capacity, & Mass

1 cubic cm = 1 ml = 1 g​

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Video links​​:

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https://www.youtube.com/watch?v=KCjTgC5gCO0ideo

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https://www.youtube.com/watch?v=JN4n0WUkQcU

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​Hence prove that 1cm³= 1ml= 1g

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Example: Dorji has a wooden box.The mass of this box when empty is 150kg.

a. How many litres of liquid could this box hold?

b. what would the mass be if it were full of water?​

since 1 cm³ = 1 ml

2400,000cm³​ = 2400,000 ml

​​^{2400000 ÷ 1000 = 2400 litres,}

^{The container will hold 2400 L}

​^{b. Capacity}

= l x w x h

=2m x 1.5m x 80 cm

=200cm x 150 cm x 80cm

= 2,400,ooocm³

​a. Volume

​Solution

volume, Capacity, and Mass

​c. Mass

1 ml has a mass of 1 g

so 2400,000 ml = 2400,000 g

2400,000​ ÷ 1000 = 2400 kg

​Total mass= 2400 + 150 = 2550 kg

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​Activity - Individual Work

Activity Direction : There are 5 different types of questions;-

• for MCQ, you are given only 1 minutes to answer and

• for open ended questions you are given 5 minutes​ to answer the Questions.

​so you are suppose to answer within the given time.

C​lick on submitt button to submitt your answer.

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Multiple Choice

1. When I am trying to find out how much an object weighs or how much matter it has, I am measuring...

• capacity

• mass

• Volume

• length

Multiple Choice

2. A kilogram is _____ times larger than a gram.

• 10

• 100

• 1,000

• 10,000

Multiple Choice

3. Jim made a rectangular prism whose length is 4 cm, height 10 cm, and width 6 cm. What is the volume of a rectangular prism?

• 250 cm³

• 240 cm³

• -240 cm³

• 240 m³

Open Ended

4. Dawa has made a new aquarium for his fishes as given aside.

a. What would be the volume and capacity of the aquarium?

b. What is the mass of water that the aquarium could hold?

Open Ended

5. A farmer made a wooden container to store water for his chicken. Every day he puts water in it and keep outside his house.

a. How much water can this container hold?

b. The container has a mass of 10 g when it is full of water. What is its mass when is is empty?