The figure shows the amount of water in two rectangular tanks, R and S, at first. Ivan poured
15 of the water from R into S to fill it to the top, without overflowing.
- How much water was there in Tank R at first?
- Ivan then poured all the water from Tank S into Tank R. 1024 cm3 of water overflowed from Tank R. What was the height of Tank R?
(a)
Volume of water to fill Tank S
= 16 x 14 x 12
= 2688 cm
3
15 of volume of water in Tank R at first = 2688 cm
3
55 of volume of water in Tank R at first = 5 x 2688 = 13440 cm
3 Volume of water in Tank R at first = 13440 cm
3 Volume of water in Tank S at first
= 16 x 14 x 16
= 3584 cm
3 Total volume of water in Tank R and Tank S
= 13440 + 3584
= 17024 cm
3 Final volume of water in Tank R after 1024 cm
3 of water overflowed
= 17024 - 1024
= 16000 cm
3 Base area of Tank R
= 20 x 16
= 320 cm
2 Height of Tank R
= 16000 ÷ 320
= 50 cm
Answer(s): (a) 13440 cm
2 ; (b) 50 cm