The figure shows the amount of water in two rectangular tanks, K and L, at first. Howard poured
14 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?
- Howard then poured all the water from Tank L into Tank K. 13200 cm3 of water overflowed from Tank K. What was the height of Tank K?
(a)
Volume of water to fill Tank L
= 22 x 18 x 17
= 6732 cm
3
14 of volume of water in Tank K at first = 6732 cm
3
44 of volume of water in Tank K at first = 4 x 6732 = 26928 cm
3 Volume of water in Tank K at first = 26928 cm
3 Volume of water in Tank L at first
= 22 x 18 x 20
= 7920 cm
3 Total volume of water in Tank K and Tank L
= 26928 + 7920
= 34848 cm
3 Final volume of water in Tank K after 13200 cm
3 of water overflowed
= 34848 - 13200
= 21648 cm
3 Base area of Tank K
= 24 x 22
= 528 cm
2 Height of Tank K
= 21648 ÷ 528
= 41 cm
Answer(s): (a) 26928 cm
2 ; (b) 41 cm