The figure shows the amount of water in two rectangular tanks, F and G, at first. Jeremy poured
14 of the water from F into G to fill it to the top, without overflowing.
- How much water was there in Tank F at first?
- Jeremy then poured all the water from Tank G into Tank F. 5312 cm3 of water overflowed from Tank F. What was the height of Tank F?
(a)
Volume of water to fill Tank G
= 16 x 14 x 15
= 3360 cm
3
14 of volume of water in Tank F at first = 3360 cm
3
44 of volume of water in Tank F at first = 4 x 3360 = 13440 cm
3 Volume of water in Tank F at first = 13440 cm
3 Volume of water in Tank G at first
= 16 x 14 x 18
= 4032 cm
3 Total volume of water in Tank F and Tank G
= 13440 + 4032
= 17472 cm
3 Final volume of water in Tank F after 5312 cm
3 of water overflowed
= 17472 - 5312
= 12160 cm
3 Base area of Tank F
= 20 x 16
= 320 cm
2 Height of Tank F
= 12160 ÷ 320
= 38 cm
Answer(s): (a) 13440 cm
2 ; (b) 38 cm