R and S are two rectangular containers. The base area of R is 82 cm
2 while that of S is 36 cm
2 . At first, R contained water to a height of 56 cm and S was empty, as shown.
- What was the volume of the water in R at first?
- Andy then poured some water from R to S. After that, the height of the water level in R was twice that in S. What was the new height of the water level in R?
(a)
Volume of water in R
= 82 x 56
= 4592 cm
3 (b)
Total base areas
= 82 + 82 + 36
= 200 cm
2 Height of water if the total base area is 200 cm
2 = 4592 ÷ 200
= 22.96 cm
New height of the water level in R
= 22.96 x 2
= 45.92 cm
Answer(s): (a) 4592 cm
3; (b) 45.92 cm