The figure shows the amount of water in two rectangular tanks, X and Y, at first. Henry poured
14 of the water from X into Y to fill it to the top, without overflowing.
- How much water was there in Tank X at first?
- Henry then poured all the water from Tank Y into Tank X. 3564 cm3 of water overflowed from Tank X. What was the height of Tank X?
(a)
Volume of water to fill Tank Y
= 18 x 14 x 15
= 3780 cm
3
14 of volume of water in Tank X at first = 3780 cm
3
44 of volume of water in Tank X at first = 4 x 3780 = 15120 cm
3 Volume of water in Tank X at first = 15120 cm
3 Volume of water in Tank Y at first
= 18 x 14 x 17
= 4284 cm
3 Total volume of water in Tank X and Tank Y
= 15120 + 4284
= 19404 cm
3 Final volume of water in Tank X after 3564 cm
3 of water overflowed
= 19404 - 3564
= 15840 cm
3 Base area of Tank X
= 20 x 18
= 360 cm
2 Height of Tank X
= 15840 ÷ 360
= 44 cm
Answer(s): (a) 15120 cm
2 ; (b) 44 cm