PSLE There was a total of 20450 cm
3 of water in rectangular tanks V and W at first. The height of the water level in tank W was 4 cm above that of tank V.
- Find the height of the water level in tank V.
- Kylie poured 4466 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 4 cm
= 29 x 22 x 4
= 2552 cm
3 Volume of water in both tanks excluding the water that is 4 cm above that of Tank V
= 20450 - 2552
= 17898 cm
3 Base area of Tank V
= 19 x 16
= 304 cm
2 Base area of Tank W
= 29 x 22
= 638 cm
2 Combined base areas of both tanks
= 304 + 638
= 942 cm
2 Height of water in Tank V
= 17898 ÷ 942
= 19 cm
(b)
Decrease in the height of Tank W after some water was poured out
= 4466 ÷ 638
= 7 cm
Original height of water before some was poured out
= 19 + 4
= 23 cm
Height of water after some was poured out
= 23 - 7
= 16 cm
Height of Tank V
= 2 x 16
= 32 cm
Answer(s): (a) 19 cm; (b) 32 cm