The figure shows the amount of water in two rectangular tanks, K and L, at first. Tom poured
15 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?
- Tom then poured all the water from Tank L into Tank K. 5355 cm3 of water overflowed from Tank K. What was the height of Tank K?
(a)
Volume of water to fill Tank L
= 17 x 15 x 14
= 3570 cm
3
15 of volume of water in Tank K at first = 3570 cm
3
55 of volume of water in Tank K at first = 5 x 3570 = 17850 cm
3 Volume of water in Tank K at first = 17850 cm
3 Volume of water in Tank L at first
= 17 x 15 x 17
= 4335 cm
3 Total volume of water in Tank K and Tank L
= 17850 + 4335
= 22185 cm
3 Final volume of water in Tank K after 5355 cm
3 of water overflowed
= 22185 - 5355
= 16830 cm
3 Base area of Tank K
= 22 x 17
= 374 cm
2 Height of Tank K
= 16830 ÷ 374
= 45 cm
Answer(s): (a) 17850 cm
2 ; (b) 45 cm