The figure shows the amount of water in two rectangular tanks, L and M, at first. Justin 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?
- Justin then poured all the water from Tank M into Tank L. 16587 cm3 of water overflowed from Tank L. What was the height of Tank L?
(a)
Volume of water to fill Tank M
= 19 x 17 x 17
= 5491 cm
3
15 of volume of water in Tank L at first = 5491 cm
3
55 of volume of water in Tank L at first = 5 x 5491 = 27455 cm
3 Volume of water in Tank L at first = 27455 cm
3 Volume of water in Tank M at first
= 19 x 17 x 20
= 6460 cm
3 Total volume of water in Tank L and Tank M
= 27455 + 6460
= 33915 cm
3 Final volume of water in Tank L after 16587 cm
3 of water overflowed
= 33915 - 16587
= 17328 cm
3 Base area of Tank L
= 24 x 19
= 456 cm
2 Height of Tank L
= 17328 ÷ 456
= 38 cm
Answer(s): (a) 27455 cm
2 ; (b) 38 cm