The figure shows the amount of water in two rectangular tanks, T and U, at first. Flynn poured
14 of the water from T into U to fill it to the top, without overflowing.
- How much water was there in Tank T at first?
- Flynn then poured all the water from Tank U into Tank T. 850 cm3 of water overflowed from Tank T. What was the height of Tank T?
(a)
Volume of water to fill Tank U
= 17 x 14 x 13
= 3094 cm
3
14 of volume of water in Tank T at first = 3094 cm
3
44 of volume of water in Tank T at first = 4 x 3094 = 12376 cm
3 Volume of water in Tank T at first = 12376 cm
3 Volume of water in Tank U at first
= 17 x 14 x 16
= 3808 cm
3 Total volume of water in Tank T and Tank U
= 12376 + 3808
= 16184 cm
3 Final volume of water in Tank T after 850 cm
3 of water overflowed
= 16184 - 850
= 15334 cm
3 Base area of Tank T
= 22 x 17
= 374 cm
2 Height of Tank T
= 15334 ÷ 374
= 41 cm
Answer(s): (a) 12376 cm
2 ; (b) 41 cm