Sarin learns rate of change in school Part 7 (Math Question)

Standard

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 learn the skills of dealing with Math Modeling, Math Problem Solving and Problem Sum from Lower Primary School to Upper Primary School level after reading the postings. This posting is an upper primary school math question on Volume and Flow Rate.

Read the posting on Sarin learns rate of change in school (Math Concept) to learn about concept of rate of change.

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

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

Upper primary school mathematics question UPQ351

Tank X is filled with water to a height of 16 cm. The water in Tank X is poured into 2 rectangular tanks, Tank Y and Tank Z, such that the heights of water in the 3 tanks are equal. Find the volume of water poured out of Tank X.

Solution:

Total volume of water in the tank X = 16 × 10 × 16 = 2560cm3

Volume = Base area × Heigth of water

The heights of water same in all three tanks,

The base area of Tank X = 10 × 16 = 160 cm2

The base area of Tank Y = 8 × 15 = 120 cm2

The base area of Tank Z = 4 × 10 = 40 cm2

The total base area of the three tanks = 160 + 120 + 40 = 320 cm2

The height of the water level in the three tanks = 2560 ÷ 320 = 8 cm

The volume of the water to pour out from tank X = 120 × 8 + 40 × 8 = 1280cm3