The figure shows the amount of water in two rectangular tanks, E and F, at first. Henry poured
15 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?
- Henry then poured all the water from Tank F into Tank E. 546 cm3 of water overflowed from Tank E. What was the height of Tank E?
(a)
Volume of water to fill Tank F
= 14 x 11 x 11
= 1694 cm
3
15 of volume of water in Tank E at first = 1694 cm
3
55 of volume of water in Tank E at first = 5 x 1694 = 8470 cm
3 Volume of water in Tank E at first = 8470 cm
3 Volume of water in Tank F at first
= 14 x 11 x 14
= 2156 cm
3 Total volume of water in Tank E and Tank F
= 8470 + 2156
= 10626 cm
3 Final volume of water in Tank E after 546 cm
3 of water overflowed
= 10626 - 546
= 10080 cm
3 Base area of Tank E
= 18 x 14
= 252 cm
2 Height of Tank E
= 10080 ÷ 252
= 40 cm
Answer(s): (a) 8470 cm
2 ; (b) 40 cm