The figure shows the amount of water in two rectangular tanks, Y and Z, at first. Asher poured
13 of the water from Y into Z to fill it to the top, without overflowing.
- How much water was there in Tank Y at first?
- Asher then poured all the water from Tank Z into Tank Y. 374 cm3 of water overflowed from Tank Y. What was the height of Tank Y?
(a)
Volume of water to fill Tank Z
= 17 x 15 x 16
= 4080 cm
3
13 of volume of water in Tank Y at first = 4080 cm
3
33 of volume of water in Tank Y at first = 3 x 4080 = 12240 cm
3 Volume of water in Tank Y at first = 12240 cm
3 Volume of water in Tank Z at first
= 17 x 15 x 18
= 4590 cm
3 Total volume of water in Tank Y and Tank Z
= 12240 + 4590
= 16830 cm
3 Final volume of water in Tank Y after 374 cm
3 of water overflowed
= 16830 - 374
= 16456 cm
3 Base area of Tank Y
= 22 x 17
= 374 cm
2 Height of Tank Y
= 16456 ÷ 374
= 44 cm
Answer(s): (a) 12240 cm
2 ; (b) 44 cm