The figure shows the amount of water in two rectangular tanks, K and L, at first. Bryan poured
14 of the water from K into L to fill it to the top, without overflowing.
- How much water was there in Tank K at first?
- Bryan then poured all the water from Tank L into Tank K. 3435 cm3 of water overflowed from Tank K. What was the height of Tank K?
(a)
Volume of water to fill Tank L
= 15 x 13 x 14
= 2730 cm
3
14 of volume of water in Tank K at first = 2730 cm
3
44 of volume of water in Tank K at first = 4 x 2730 = 10920 cm
3 Volume of water in Tank K at first = 10920 cm
3 Volume of water in Tank L at first
= 15 x 13 x 17
= 3315 cm
3 Total volume of water in Tank K and Tank L
= 10920 + 3315
= 14235 cm
3 Final volume of water in Tank K after 3435 cm
3 of water overflowed
= 14235 - 3435
= 10800 cm
3 Base area of Tank K
= 20 x 15
= 300 cm
2 Height of Tank K
= 10800 ÷ 300
= 36 cm
Answer(s): (a) 10920 cm
2 ; (b) 36 cm