The figure shows the amount of water in two rectangular tanks, U and V, at first. Albert 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?
- Albert then poured all the water from Tank V into Tank U. 2737 cm3 of water overflowed from Tank U. What was the height of Tank U?
(a)
Volume of water to fill Tank V
= 17 x 13 x 12
= 2652 cm
3
15 of volume of water in Tank U at first = 2652 cm
3
55 of volume of water in Tank U at first = 5 x 2652 = 13260 cm
3 Volume of water in Tank U at first = 13260 cm
3 Volume of water in Tank V at first
= 17 x 13 x 15
= 3315 cm
3 Total volume of water in Tank U and Tank V
= 13260 + 3315
= 16575 cm
3 Final volume of water in Tank U after 2737 cm
3 of water overflowed
= 16575 - 2737
= 13838 cm
3 Base area of Tank U
= 22 x 17
= 374 cm
2 Height of Tank U
= 13838 ÷ 374
= 37 cm
Answer(s): (a) 13260 cm
2 ; (b) 37 cm