The figure shows the amount of water in two rectangular tanks, Q and R, at first. Eric poured
15 of the water from Q into R to fill it to the top, without overflowing.
- How much water was there in Tank Q at first?
- Eric then poured all the water from Tank R into Tank Q. 6256 cm3 of water overflowed from Tank Q. What was the height of Tank Q?
(a)
Volume of water to fill Tank R
= 17 x 14 x 14
= 3332 cm
3
15 of volume of water in Tank Q at first = 3332 cm
3
55 of volume of water in Tank Q at first = 5 x 3332 = 16660 cm
3 Volume of water in Tank Q at first = 16660 cm
3 Volume of water in Tank R at first
= 17 x 14 x 16
= 3808 cm
3 Total volume of water in Tank Q and Tank R
= 16660 + 3808
= 20468 cm
3 Final volume of water in Tank Q after 6256 cm
3 of water overflowed
= 20468 - 6256
= 14212 cm
3 Base area of Tank Q
= 22 x 17
= 374 cm
2 Height of Tank Q
= 14212 ÷ 374
= 38 cm
Answer(s): (a) 16660 cm
2 ; (b) 38 cm