The figure shows the amount of water in two rectangular tanks, M and N, at first. Flynn poured
14 of the water from M into N to fill it to the top, without overflowing.
- How much water was there in Tank M at first?
- Flynn then poured all the water from Tank N into Tank M. 11932 cm3 of water overflowed from Tank M. What was the height of Tank M?
(a)
Volume of water to fill Tank N
= 19 x 17 x 18
= 5814 cm
3
14 of volume of water in Tank M at first = 5814 cm
3
44 of volume of water in Tank M at first = 4 x 5814 = 23256 cm
3 Volume of water in Tank M at first = 23256 cm
3 Volume of water in Tank N at first
= 19 x 17 x 20
= 6460 cm
3 Total volume of water in Tank M and Tank N
= 23256 + 6460
= 29716 cm
3 Final volume of water in Tank M after 11932 cm
3 of water overflowed
= 29716 - 11932
= 17784 cm
3 Base area of Tank M
= 24 x 19
= 456 cm
2 Height of Tank M
= 17784 ÷ 456
= 39 cm
Answer(s): (a) 23256 cm
2 ; (b) 39 cm