The figure shows the amount of water in two rectangular tanks, E and F, at first. Perry poured
13 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?
- Perry then poured all the water from Tank F into Tank E. 2400 cm3 of water overflowed from Tank E. What was the height of Tank E?
(a)
Volume of water to fill Tank F
= 16 x 14 x 16
= 3584 cm
3
13 of volume of water in Tank E at first = 3584 cm
3
33 of volume of water in Tank E at first = 3 x 3584 = 10752 cm
3 Volume of water in Tank E at first = 10752 cm
3 Volume of water in Tank F at first
= 16 x 14 x 18
= 4032 cm
3 Total volume of water in Tank E and Tank F
= 10752 + 4032
= 14784 cm
3 Final volume of water in Tank E after 2400 cm
3 of water overflowed
= 14784 - 2400
= 12384 cm
3 Base area of Tank E
= 18 x 16
= 288 cm
2 Height of Tank E
= 12384 ÷ 288
= 43 cm
Answer(s): (a) 10752 cm
2 ; (b) 43 cm