The figure shows the amount of water in two rectangular tanks, R and S, at first. Dylan poured
13 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?
- Dylan then poured all the water from Tank S into Tank R. 1260 cm3 of water overflowed from Tank R. What was the height of Tank R?
(a)
Volume of water to fill Tank S
= 18 x 14 x 13
= 3276 cm
3
13 of volume of water in Tank R at first = 3276 cm
3
33 of volume of water in Tank R at first = 3 x 3276 = 9828 cm
3 Volume of water in Tank R at first = 9828 cm
3 Volume of water in Tank S at first
= 18 x 14 x 16
= 4032 cm
3 Total volume of water in Tank R and Tank S
= 9828 + 4032
= 13860 cm
3 Final volume of water in Tank R after 1260 cm
3 of water overflowed
= 13860 - 1260
= 12600 cm
3 Base area of Tank R
= 20 x 18
= 360 cm
2 Height of Tank R
= 12600 ÷ 360
= 35 cm
Answer(s): (a) 9828 cm
2 ; (b) 35 cm