The figure shows the amount of water in two rectangular tanks, E and F, at first. Zane poured
14 of the water from E into F to fill it to the top, without overflowing.
- How much water was there in Tank E at first?
- Zane then poured all the water from Tank F into Tank E. 8460 cm3 of water overflowed from Tank E. What was the height of Tank E?
(a)
Volume of water to fill Tank F
= 20 x 17 x 17
= 5780 cm
3
14 of volume of water in Tank E at first = 5780 cm
3
44 of volume of water in Tank E at first = 4 x 5780 = 23120 cm
3 Volume of water in Tank E at first = 23120 cm
3 Volume of water in Tank F at first
= 20 x 17 x 19
= 6460 cm
3 Total volume of water in Tank E and Tank F
= 23120 + 6460
= 29580 cm
3 Final volume of water in Tank E after 8460 cm
3 of water overflowed
= 29580 - 8460
= 21120 cm
3 Base area of Tank E
= 24 x 20
= 480 cm
2 Height of Tank E
= 21120 ÷ 480
= 44 cm
Answer(s): (a) 23120 cm
2 ; (b) 44 cm