The figure shows the amount of water in two rectangular tanks, V and W, at first. Ivan poured
13 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?
- Ivan then poured all the water from Tank W into Tank V. 5620 cm3 of water overflowed from Tank V. What was the height of Tank V?
(a)
Volume of water to fill Tank W
= 20 x 17 x 16
= 5440 cm
3
13 of volume of water in Tank V at first = 5440 cm
3
33 of volume of water in Tank V at first = 3 x 5440 = 16320 cm
3 Volume of water in Tank V at first = 16320 cm
3 Volume of water in Tank W at first
= 20 x 17 x 19
= 6460 cm
3 Total volume of water in Tank V and Tank W
= 16320 + 6460
= 22780 cm
3 Final volume of water in Tank V after 5620 cm
3 of water overflowed
= 22780 - 5620
= 17160 cm
3 Base area of Tank V
= 22 x 20
= 440 cm
2 Height of Tank V
= 17160 ÷ 440
= 39 cm
Answer(s): (a) 16320 cm
2 ; (b) 39 cm