Sarin learns Perimeter, Area and Volume in school part 85 (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.

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

Read also the posting on Sarin learns Shapes and Solids in school (Math Concept) to know about shapes.

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

Upper primary school mathematics question UPQ369

Diagram A shows a closed rectangular tank of dimensions 20 cm by 20 cm by 40 cm with a cube of edge 10 cm glued to its bottom left corner. The tank contains 12 litres of water.

Diagram B shows the same rectangular tank lying on its side. Find the height of the water level, in centimeters, corrected to 2 decimal places.

UPQ369-1

Solution:

UPQ369-2

            The cube has each edge of 10cm

            The area of a single face = 10 × 10 = 100cm2

            Base on the diagram

            Below the red line, the container has a base area of 20 × 40 = 800cm2

            The volume of the container below the red line = 10 × 800 = 8000cm2

            Above the red line, the container has a base area = 800 – 100 = 700cm2

            The total amount of water = 12 l = 12000cm3

            The amount of water above the red line = 12000 – 8000 = 4000cm3

            The height of water in the container above the red line = 4000 ÷ 700 = 40/7 cm

            The water level in the container position as diagram = 10 + 40/7 ≈ 15.71cm

 More Questions on Volume. Click here….

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