The figure shows the amount of water in two rectangular tanks, E and F, at first. Cole poured
15 of the water from E into F to fill it to the top, without overflowing.
- How much water was there in Tank E at first?
- Cole then poured all the water from Tank F into Tank E. 2560 cm3 of water overflowed from Tank E. What was the height of Tank E?
(a)
Volume of water to fill Tank F
= 16 x 12 x 12
= 2304 cm
3
15 of volume of water in Tank E at first = 2304 cm
3
55 of volume of water in Tank E at first = 5 x 2304 = 11520 cm
3 Volume of water in Tank E at first = 11520 cm
3 Volume of water in Tank F at first
= 16 x 12 x 15
= 2880 cm
3 Total volume of water in Tank E and Tank F
= 11520 + 2880
= 14400 cm
3 Final volume of water in Tank E after 2560 cm
3 of water overflowed
= 14400 - 2560
= 11840 cm
3 Base area of Tank E
= 20 x 16
= 320 cm
2 Height of Tank E
= 11840 ÷ 320
= 37 cm
Answer(s): (a) 11520 cm
2 ; (b) 37 cm