**PSLE 2023 Math Question – Volume**

The main aim of this math revision note is to go through some challenging PSLE 2023 Math questions on Volume and help your child become better at solving such questions.

The question assesses your child’s capacity to eliminate excess volume, utilize the combined base area, determine the water level, and subsequently solve the related problems.

**Before you read on, you might want to download this entire revision notes in PDF format to print it out for your child, or to read it later.**

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__PSLE 2023 Math Question – Volume__

The total amount of water in both tanks was 21 400 cm3. The height of water in Tank Y was 5 cm higher than Tank X.

a) What is the water level in Tank X?

b) 3300 cm3 of water was poured out from Tank Y. The water level height is now half the height of Tank Y. What is the actual height of Tank Y?

__Solutions__

a) The water level in Tank Y is 5 cm higher than in Tank X.

We can find out the extra amount of water that is sitting on top of the shared heights as shown.

Extra volume of water = 30 cm x 20 cm x 5 cm

= 3000 cm^{3}

Combined volume of water (of the same height) = 21 400 cm^{3} – 3000 cm^{3}

= 18 400 cm^{3}

Combined base area = 20 cm x 10 cm + 30 cm x 20 cm

= 200 cm^{2} + 600 cm^{2}

= 800 cm^{2}

To find water level, let’s recap the **formula to find the water level**:

### Water Level = Volume ÷ Base Area

Water level in X = 18 400 cm^{3} ÷ 800 cm^{2}

= 23 cm

b) Water level in Tank Y before 3300 cm^{3 }of water was poured out

= 23 cm + 5 cm

= 28 cm

Volume in Tank Y before 3300 cm^{3 }of water was poured out

= 28 cm x 30 cm x 20 cm

= 16 800 cm^{3}

Volume in Tank Y after 3300 cm^{3 }of water was poured out

= 16 800 cm^{3} – 3 300 cm^{3}

= 13 500 cm^{3}

*½ *of Tank Y = 13 500 cm^{3}

*½ *of Tank Y = 13 500 cm^{3} x 2 = 27 000 cm^{3}

Actual height of Tank Y = 27 000 cm^{3} ÷ 30 cm ÷ 20 cm

= 45 cm (Ans)

**Before you go, you might want to download this entire revision notes in PDF format to print it out for your child, or to read it later.**

**This will be delivered to your email inbox.**

To Your Child’s Success,

Ms Nelly Ke

Math Specialist

Jimmy Maths and Grade Solution Learning Centre

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