The figure shows the amount of water in two rectangular tanks, U and V, at first. Mark poured
15 of the water from U into V to fill it to the top, without overflowing.
- How much water was there in Tank U at first?
- Mark then poured all the water from Tank V into Tank U. 9540 cm3 of water overflowed from Tank U. What was the height of Tank U?
(a)
Volume of water to fill Tank V
= 18 x 15 x 16
= 4320 cm
3
15 of volume of water in Tank U at first = 4320 cm
3
55 of volume of water in Tank U at first = 5 x 4320 = 21600 cm
3 Volume of water in Tank U at first = 21600 cm
3 Volume of water in Tank V at first
= 18 x 15 x 18
= 4860 cm
3 Total volume of water in Tank U and Tank V
= 21600 + 4860
= 26460 cm
3 Final volume of water in Tank U after 9540 cm
3 of water overflowed
= 26460 - 9540
= 16920 cm
3 Base area of Tank U
= 20 x 18
= 360 cm
2 Height of Tank U
= 16920 ÷ 360
= 47 cm
Answer(s): (a) 21600 cm
2 ; (b) 47 cm