Sarin learns Perimeter, Area and Volume in school part 83 (Math Question)

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The blog postings are about the Singapore Math. The readers can learn from the postings about Solving Singapore Primary School Mathematics. The blog presenting the Math Concept, Math Questions with solutions that teaches in Singapore Primary Schools. You or the kids can acquire the skill of dealing with Math Modeling, Math Problem Solving and Problem Sum from Lower Primary School to Upper Primary School level after reading the blog postings. This posting is an upper primary school math question on Volume and Fraction.

You can read posting Sarin learns Perimeter, Area and Volume in school(Math Concept) to learn the concept of perimeter and area.

Read the posting on Sarin learns the concept of Fraction (mathematics concept) to understand the concept of Fraction.

Challenge yourself with the question before look out for the given solution‼!

Upper primary school mathematics question UPQ360

Sarin has a rectangular tank with a base area of 500 cm2 and a height of 60 cm that contains some water. When some identical cubes are put into it, it becomes 5/6 filled. Each identical cube has sides of 5 cm. He then removes all the cubes and the tank is 2/3 filled with water only.

            (a) What is the volume of water in the tank?

            (b) How many cubes has he put into the tank at first?

Solution:

 

            The tank is rectangular with base area of 500 cm2

            Only the water level (height) changes per the fraction when with and without cubes

UPQ360-1

 

 

            From the model

                        6 units = 60

                        1 unit = 10 cm

            The volume of the total cubes = 10 × 500 = 5000

            The volume of each cubes = 5 × 5 × 5 = 125 cm3

            The number of 5-cm cubes used = 5000 ÷ 125 = 40

            Do note that the height dufferent is the multiple of 5cm

 More Questions on Volume. Click here….

More Questions on Fraction. Click here…. 

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