PSLE There was a total of 26829 cm
3 of water in rectangular tanks V and W at first. The height of the water level in tank W was 2 cm above that of tank V.
- Find the height of the water level in tank V.
- Julie poured 6270 cm3 of water out of tank W. Tank W was then half filled with water. What was the height of tank W?
(a)
Volume of water in Tank W with a height of 2 cm
= 38 x 33 x 2
= 2508 cm
3 Volume of water in both tanks excluding the water that is 2 cm above that of Tank V
= 26829 - 2508
= 24321 cm
3 Base area of Tank V
= 33 x 29
= 957 cm
2 Base area of Tank W
= 38 x 33
= 1254 cm
2 Combined base areas of both tanks
= 957 + 1254
= 2211 cm
2 Height of water in Tank V
= 24321 ÷ 2211
= 11 cm
(b)
Decrease in the height of Tank W after some water was poured out
= 6270 ÷ 1254
= 5 cm
Original height of water before some was poured out
= 11 + 2
= 13 cm
Height of water after some was poured out
= 13 - 5
= 8 cm
Height of Tank V
= 2 x 8
= 16 cm
Answer(s): (a) 11 cm; (b) 16 cm