The figure shows the amount of water in two rectangular tanks, L and M, at first. Seth poured
14 of the water from L into M to fill it to the top, without overflowing.
- How much water was there in Tank L at first?
- Seth then poured all the water from Tank M into Tank L. 5936 cm3 of water overflowed from Tank L. What was the height of Tank L?
(a)
Volume of water to fill Tank M
= 16 x 13 x 15
= 3120 cm
3
14 of volume of water in Tank L at first = 3120 cm
3
44 of volume of water in Tank L at first = 4 x 3120 = 12480 cm
3 Volume of water in Tank L at first = 12480 cm
3 Volume of water in Tank M at first
= 16 x 13 x 17
= 3536 cm
3 Total volume of water in Tank L and Tank M
= 12480 + 3536
= 16016 cm
3 Final volume of water in Tank L after 5936 cm
3 of water overflowed
= 16016 - 5936
= 10080 cm
3 Base area of Tank L
= 18 x 16
= 288 cm
2 Height of Tank L
= 10080 ÷ 288
= 35 cm
Answer(s): (a) 12480 cm
2 ; (b) 35 cm