The figure shows the amount of water in two rectangular tanks, V and W, at first. Billy poured
15 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?
- Billy then poured all the water from Tank W into Tank V. 3840 cm3 of water overflowed from Tank V. What was the height of Tank V?
(a)
Volume of water to fill Tank W
= 16 x 12 x 13
= 2496 cm
3
15 of volume of water in Tank V at first = 2496 cm
3
55 of volume of water in Tank V at first = 5 x 2496 = 12480 cm
3 Volume of water in Tank V at first = 12480 cm
3 Volume of water in Tank W at first
= 16 x 12 x 15
= 2880 cm
3 Total volume of water in Tank V and Tank W
= 12480 + 2880
= 15360 cm
3 Final volume of water in Tank V after 3840 cm
3 of water overflowed
= 15360 - 3840
= 11520 cm
3 Base area of Tank V
= 20 x 16
= 320 cm
2 Height of Tank V
= 11520 ÷ 320
= 36 cm
Answer(s): (a) 12480 cm
2 ; (b) 36 cm