The figure shows the amount of water in two rectangular tanks, L and M, at first. Zeph poured
15 of the water from L into M to fill it to the top, without overflowing.
- How much water was there in Tank L at first?
- Zeph then poured all the water from Tank M into Tank L. 3968 cm3 of water overflowed from Tank L. What was the height of Tank L?
(a)
Volume of water to fill Tank M
= 16 x 13 x 13
= 2704 cm
3
15 of volume of water in Tank L at first = 2704 cm
3
55 of volume of water in Tank L at first = 5 x 2704 = 13520 cm
3 Volume of water in Tank L at first = 13520 cm
3 Volume of water in Tank M at first
= 16 x 13 x 15
= 3120 cm
3 Total volume of water in Tank L and Tank M
= 13520 + 3120
= 16640 cm
3 Final volume of water in Tank L after 3968 cm
3 of water overflowed
= 16640 - 3968
= 12672 cm
3 Base area of Tank L
= 18 x 16
= 288 cm
2 Height of Tank L
= 12672 ÷ 288
= 44 cm
Answer(s): (a) 13520 cm
2 ; (b) 44 cm