The figure shows the amount of water in two rectangular tanks, F and G, at first. Zane poured
15 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?
- Zane then poured all the water from Tank G into Tank F. 9540 cm3 of water overflowed from Tank F. What was the height of Tank F?
(a)
Volume of water to fill Tank G
= 18 x 15 x 13
= 3510 cm
3
15 of volume of water in Tank F at first = 3510 cm
3
55 of volume of water in Tank F at first = 5 x 3510 = 17550 cm
3 Volume of water in Tank F at first = 17550 cm
3 Volume of water in Tank G at first
= 18 x 15 x 17
= 4590 cm
3 Total volume of water in Tank F and Tank G
= 17550 + 4590
= 22140 cm
3 Final volume of water in Tank F after 9540 cm
3 of water overflowed
= 22140 - 9540
= 12600 cm
3 Base area of Tank F
= 20 x 18
= 360 cm
2 Height of Tank F
= 12600 ÷ 360
= 35 cm
Answer(s): (a) 17550 cm
2 ; (b) 35 cm