The figure shows the amount of water in two rectangular tanks, H and J, at first. Zeph poured
14 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?
- Zeph then poured all the water from Tank J into Tank H. 5112 cm3 of water overflowed from Tank H. What was the height of Tank H?
(a)
Volume of water to fill Tank J
= 18 x 16 x 14
= 4032 cm
3
14 of volume of water in Tank H at first = 4032 cm
3
44 of volume of water in Tank H at first = 4 x 4032 = 16128 cm
3 Volume of water in Tank H at first = 16128 cm
3 Volume of water in Tank J at first
= 18 x 16 x 18
= 5184 cm
3 Total volume of water in Tank H and Tank J
= 16128 + 5184
= 21312 cm
3 Final volume of water in Tank H after 5112 cm
3 of water overflowed
= 21312 - 5112
= 16200 cm
3 Base area of Tank H
= 20 x 18
= 360 cm
2 Height of Tank H
= 16200 ÷ 360
= 45 cm
Answer(s): (a) 16128 cm
2 ; (b) 45 cm