The figure shows the amount of water in two rectangular tanks, F and G, at first. Eric 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?
- Eric then poured all the water from Tank G into Tank F. 8664 cm3 of water overflowed from Tank F. What was the height of Tank F?
(a)
Volume of water to fill Tank G
= 19 x 16 x 16
= 4864 cm
3
14 of volume of water in Tank F at first = 4864 cm
3
44 of volume of water in Tank F at first = 4 x 4864 = 19456 cm
3 Volume of water in Tank F at first = 19456 cm
3 Volume of water in Tank G at first
= 19 x 16 x 20
= 6080 cm
3 Total volume of water in Tank F and Tank G
= 19456 + 6080
= 25536 cm
3 Final volume of water in Tank F after 8664 cm
3 of water overflowed
= 25536 - 8664
= 16872 cm
3 Base area of Tank F
= 24 x 19
= 456 cm
2 Height of Tank F
= 16872 ÷ 456
= 37 cm
Answer(s): (a) 19456 cm
2 ; (b) 37 cm