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.

Solution:

The cube has each edge of 10cm

The area of a single face = 10 × 10 = 100cm^{2}

Base on the diagram

Below the red line, the container has a base area of 20 × 40 = 800cm^{2}

The volume of the container below the red line = 10 × 800 = 8000cm^{2}

Above the red line, the container has a base area = 800 – 100 = 700cm^{2}

The total amount of water = 12 *l* = 12000cm^{3}

The amount of water above the red line = 12000 – 8000 = 4000cm^{3}

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 ≈ **15.71**cm