Source: Nanyang Primary
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Question
Answer
alfretztay
volume of tank ——- 35 x 20 x 25 = 17500
volume of 4 identical 5-cm cubes ——- 4 x 5 x 5 x 5 = 500
17500 – 500 = 17000 (volume of water when tank is completely filled)
17000 – 11387.5 = 5612.5 (water in tank after 11387.5 ml is poured out)
35 x 20 x 5 – 2 x 5 x 5 x 5 = 3500 – 250 = 3250 (amount of water at height of 5 cm)
5612.5 – 3250 = 2362.5
35 x 20 x height – 5 x 5 x height ——- 2362.5
height ——- 2362.5/(35 x 20 – 5 x 5) = 3.5
3.5 + 5 = 8.5
Ans : 8.5 cm.
arosisi
Capacity of the container
= 35 x 20 x 25 = 17500 cm3
Volume of the cubes
= 4 x 5 x 5 x 5 = 500 cm3
Volume of water in the container at first
= 17500 – 500 = 17000 cm3
Volume of water in the container in the end
= 17000 – 11387.5 = 5612.5 cm3
Volume of water needed for the height of the water to be 5 cm
= (35 x 20 – 2 x 5 x 5) x 5 = 3250 cm3
Additional volume of water needed for the height of the water to be 15 cm
= (35 x 20 – 5 x 5) x 10 = 6750 cm3
Since 5612.5 is more than 3250 but less than 3250 + 6750, the height of the water is more than 5 cm and less than 15 cm
Additional height of the water beyond 5 cm
= (5612.5 – 3250) ÷ (35 x 20 – 5 x 5) = 3.5 cm
Height of the water in the end
= 5 + 3.5 = 8.5 cm#
Hope it helps 🙂
arosisi
Capacity of the container
= 35 x 20 x 25 = 17500 cm3
Volume of the cubes
= 4 x 5 x 5 x 5 = 500 cm3
Volume of water in the container at first
= 17500 – 500 = 17000 cm3
Volume of water in the container in the end
= 17000 – 11387.5 = 5612.5 cm3
Volume of water needed for the height of the water to be 5 cm
= (35 x 20 – 2 x 5 x 5) x 5 = 3250 cm3
Additional volume of water needed for the height of the water to be 15 cm
= (35 x 20 – 5 x 5) x 10 = 6750 cm3
Since 5612.5 is more than 3250 but less than 3250 + 6750, the height of the water is more than 5 cm and less than 15 cm
Additional height of the water beyond 5 cm
= (5612.5 – 3250) ÷ (35 x 20 – 5 x 5) = 3.5 cm
Height of the water in the end
= 5 + 3.5 = 8.5 cm#
Hope it helps 🙂
GBU
Thank you for your time to reply.