The figure shows the amount of water in two rectangular tanks, K and L, at first. Oscar poured
15 of the water from K into L to fill it to the top, without overflowing.
- How much water was there in Tank K at first?
- Oscar then poured all the water from Tank L into Tank K. 8712 cm3 of water overflowed from Tank K. What was the height of Tank K?
(a)
Volume of water to fill Tank L
= 18 x 16 x 16
= 4608 cm
3
15 of volume of water in Tank K at first = 4608 cm
3
55 of volume of water in Tank K at first = 5 x 4608 = 23040 cm
3 Volume of water in Tank K at first = 23040 cm
3 Volume of water in Tank L at first
= 18 x 16 x 19
= 5472 cm
3 Total volume of water in Tank K and Tank L
= 23040 + 5472
= 28512 cm
3 Final volume of water in Tank K after 8712 cm
3 of water overflowed
= 28512 - 8712
= 19800 cm
3 Base area of Tank K
= 22 x 18
= 396 cm
2 Height of Tank K
= 19800 ÷ 396
= 50 cm
Answer(s): (a) 23040 cm
2 ; (b) 50 cm