The figure shows the amount of water in two rectangular tanks, H and J, at first. Japheth poured
13 of the water from H into J to fill it to the top, without overflowing.
- How much water was there in Tank H at first?
- Japheth then poured all the water from Tank J into Tank H. 204 cm3 of water overflowed from Tank H. What was the height of Tank H?
(a)
Volume of water to fill Tank J
= 17 x 14 x 14
= 3332 cm
3
13 of volume of water in Tank H at first = 3332 cm
3
33 of volume of water in Tank H at first = 3 x 3332 = 9996 cm
3 Volume of water in Tank H at first = 9996 cm
3 Volume of water in Tank J at first
= 17 x 14 x 17
= 4046 cm
3 Total volume of water in Tank H and Tank J
= 9996 + 4046
= 14042 cm
3 Final volume of water in Tank H after 204 cm
3 of water overflowed
= 14042 - 204
= 13838 cm
3 Base area of Tank H
= 22 x 17
= 374 cm
2 Height of Tank H
= 13838 ÷ 374
= 37 cm
Answer(s): (a) 9996 cm
2 ; (b) 37 cm