The figure shows the amount of water in two rectangular tanks, V and W, at first. Cole poured
14 of the water from V into W to fill it to the top, without overflowing.
- How much water was there in Tank V at first?
- Cole then poured all the water from Tank W into Tank V. 7360 cm3 of water overflowed from Tank V. What was the height of Tank V?
(a)
Volume of water to fill Tank W
= 20 x 16 x 18
= 5760 cm
3
14 of volume of water in Tank V at first = 5760 cm
3
44 of volume of water in Tank V at first = 4 x 5760 = 23040 cm
3 Volume of water in Tank V at first = 23040 cm
3 Volume of water in Tank W at first
= 20 x 16 x 20
= 6400 cm
3 Total volume of water in Tank V and Tank W
= 23040 + 6400
= 29440 cm
3 Final volume of water in Tank V after 7360 cm
3 of water overflowed
= 29440 - 7360
= 22080 cm
3 Base area of Tank V
= 24 x 20
= 480 cm
2 Height of Tank V
= 22080 ÷ 480
= 46 cm
Answer(s): (a) 23040 cm
2 ; (b) 46 cm