The figure shows the amount of water in two rectangular tanks, D and E, at first. Simon poured
15 of the water from D into E to fill it to the top, without overflowing.
- How much water was there in Tank D at first?
- Simon then poured all the water from Tank E into Tank D. 12672 cm3 of water overflowed from Tank D. What was the height of Tank D?
(a)
Volume of water to fill Tank E
= 18 x 16 x 16
= 4608 cm
3
15 of volume of water in Tank D at first = 4608 cm
3
55 of volume of water in Tank D at first = 5 x 4608 = 23040 cm
3 Volume of water in Tank D at first = 23040 cm
3 Volume of water in Tank E at first
= 18 x 16 x 19
= 5472 cm
3 Total volume of water in Tank D and Tank E
= 23040 + 5472
= 28512 cm
3 Final volume of water in Tank D after 12672 cm
3 of water overflowed
= 28512 - 12672
= 15840 cm
3 Base area of Tank D
= 22 x 18
= 396 cm
2 Height of Tank D
= 15840 ÷ 396
= 40 cm
Answer(s): (a) 23040 cm
2 ; (b) 40 cm