PSLE There was a total of 20097 cm
3 of water in rectangular tanks W and X at first. The height of the water level in tank X was 3 cm above that of tank W.
- Find the height of the water level in tank W.
- Victoria poured 3255 cm3 of water out of tank X. Tank X was then half filled with water. What was the height of tank X?
(a)
Volume of water in Tank X with a height of 3 cm
= 31 x 21 x 3
= 1953 cm
3 Volume of water in both tanks excluding the water that is 3 cm above that of Tank W
= 20097 - 1953
= 18144 cm
3 Base area of Tank W
= 21 x 17
= 357 cm
2 Base area of Tank X
= 31 x 21
= 651 cm
2 Combined base areas of both tanks
= 357 + 651
= 1008 cm
2 Height of water in Tank W
= 18144 ÷ 1008
= 18 cm
(b)
Decrease in the height of Tank X after some water was poured out
= 3255 ÷ 651
= 5 cm
Original height of water before some was poured out
= 18 + 3
= 21 cm
Height of water after some was poured out
= 21 - 5
= 16 cm
Height of Tank W
= 2 x 16
= 32 cm
Answer(s): (a) 18 cm; (b) 32 cm