The figure shows the amount of water in two rectangular tanks, K and L, at first. Will 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?
- Will then poured all the water from Tank L into Tank K. 4480 cm3 of water overflowed from Tank K. What was the height of Tank K?
(a)
Volume of water to fill Tank L
= 20 x 16 x 16
= 5120 cm
3
14 of volume of water in Tank K at first = 5120 cm
3
44 of volume of water in Tank K at first = 4 x 5120 = 20480 cm
3 Volume of water in Tank K at first = 20480 cm
3 Volume of water in Tank L at first
= 20 x 16 x 19
= 6080 cm
3 Total volume of water in Tank K and Tank L
= 20480 + 6080
= 26560 cm
3 Final volume of water in Tank K after 4480 cm
3 of water overflowed
= 26560 - 4480
= 22080 cm
3 Base area of Tank K
= 24 x 20
= 480 cm
2 Height of Tank K
= 22080 ÷ 480
= 46 cm
Answer(s): (a) 20480 cm
2 ; (b) 46 cm