The figure shows the amount of water in two rectangular tanks, M and N, at first. Zane poured
15 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?
- Zane then poured all the water from Tank N into Tank M. 2244 cm3 of water overflowed from Tank M. What was the height of Tank M?
(a)
Volume of water to fill Tank N
= 17 x 14 x 14
= 3332 cm
3
15 of volume of water in Tank M at first = 3332 cm
3
55 of volume of water in Tank M at first = 5 x 3332 = 16660 cm
3 Volume of water in Tank M at first = 16660 cm
3 Volume of water in Tank N at first
= 17 x 14 x 18
= 4284 cm
3 Total volume of water in Tank M and Tank N
= 16660 + 4284
= 20944 cm
3 Final volume of water in Tank M after 2244 cm
3 of water overflowed
= 20944 - 2244
= 18700 cm
3 Base area of Tank M
= 22 x 17
= 374 cm
2 Height of Tank M
= 18700 ÷ 374
= 50 cm
Answer(s): (a) 16660 cm
2 ; (b) 50 cm