The figure shows the amount of water in two rectangular tanks, N and P, at first. Vaidev poured
15 of the water from N into P to fill it to the top, without overflowing.
- How much water was there in Tank N at first?
- Vaidev then poured all the water from Tank P into Tank N. 17952 cm3 of water overflowed from Tank N. What was the height of Tank N?
(a)
Volume of water to fill Tank P
= 22 x 18 x 18
= 7128 cm
3
15 of volume of water in Tank N at first = 7128 cm
3
55 of volume of water in Tank N at first = 5 x 7128 = 35640 cm
3 Volume of water in Tank N at first = 35640 cm
3 Volume of water in Tank P at first
= 22 x 18 x 22
= 8712 cm
3 Total volume of water in Tank N and Tank P
= 35640 + 8712
= 44352 cm
3 Final volume of water in Tank N after 17952 cm
3 of water overflowed
= 44352 - 17952
= 26400 cm
3 Base area of Tank N
= 24 x 22
= 528 cm
2 Height of Tank N
= 26400 ÷ 528
= 50 cm
Answer(s): (a) 35640 cm
2 ; (b) 50 cm