The figure shows the amount of water in two rectangular tanks, C and D, at first. Owen poured
15 of the water from C into D to fill it to the top, without overflowing.
- How much water was there in Tank C at first?
- Owen then poured all the water from Tank D into Tank C. 7728 cm3 of water overflowed from Tank C. What was the height of Tank C?
(a)
Volume of water to fill Tank D
= 16 x 13 x 14
= 2912 cm
3
15 of volume of water in Tank C at first = 2912 cm
3
55 of volume of water in Tank C at first = 5 x 2912 = 14560 cm
3 Volume of water in Tank C at first = 14560 cm
3 Volume of water in Tank D at first
= 16 x 13 x 17
= 3536 cm
3 Total volume of water in Tank C and Tank D
= 14560 + 3536
= 18096 cm
3 Final volume of water in Tank C after 7728 cm
3 of water overflowed
= 18096 - 7728
= 10368 cm
3 Base area of Tank C
= 18 x 16
= 288 cm
2 Height of Tank C
= 10368 ÷ 288
= 36 cm
Answer(s): (a) 14560 cm
2 ; (b) 36 cm