The figure shows the amount of water in two rectangular tanks, F and G, at first. Owen 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?
- Owen then poured all the water from Tank G into Tank F. 12672 cm3 of water overflowed from Tank F. What was the height of Tank F?
(a)
Volume of water to fill Tank G
= 22 x 18 x 16
= 6336 cm
3
14 of volume of water in Tank F at first = 6336 cm
3
44 of volume of water in Tank F at first = 4 x 6336 = 25344 cm
3 Volume of water in Tank F at first = 25344 cm
3 Volume of water in Tank G at first
= 22 x 18 x 20
= 7920 cm
3 Total volume of water in Tank F and Tank G
= 25344 + 7920
= 33264 cm
3 Final volume of water in Tank F after 12672 cm
3 of water overflowed
= 33264 - 12672
= 20592 cm
3 Base area of Tank F
= 24 x 22
= 528 cm
2 Height of Tank F
= 20592 ÷ 528
= 39 cm
Answer(s): (a) 25344 cm
2 ; (b) 39 cm