PSLE Math 2023 Paper 2 Question 13
(Volume and Height of Tank X and Tank Y Question)
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PSLE Math 2023 Paper 2 Question 13
a) Vol. Of water in Take Y at a height of 5cm = 30cm x 20cm x 5cm
= 3000cm^3
To make the height of water equal in both X and Y, we will need to remove
the extra 5cm of water level from Tank Y.
Total vol. of water in both X and Y (height of water level equal)
= 21400 cm^3 - 3000cm^3
= 18400cm^3
Combined base areas of X and U = (20cm x 10cm) + (30cm x 20cm)
= 200cm^2 + 600cm^2
= 800cm^2
Height of water level in X = New total vol. of water ÷ combined base area
= 18400cm^3 ÷ 800cm^2
= 23cm
b) Volume of water in TankY at first = 600cm^2 x (23cm + 5cm)
= 16800cm^3
Vol. of water in Y (Half filled) = 16800cm^3 - 3300cm^3
= 13500cm^3
Height of tank Y = (13500cm^3 ÷ 600cm^2) x 2
= 22.5cm x 2
= 45cm
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