R and S are two rectangular containers. The base area of R is 94 cm
2 while that of S is 37 cm
2 . At first, R contained water to a height of 36 cm and S was empty, as shown.
- What was the volume of the water in R at first?
- Elijah 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
= 94 x 36
= 3384 cm
3 (b)
Total base areas
= 94 + 94 + 37
= 225 cm
2 Height of water if the total base area is 225 cm
2 = 3384 ÷ 225
= 15.04 cm
New height of the water level in R
= 15.04 x 2
= 30.08 cm
Answer(s): (a) 3384 cm
3; (b) 30.08 cm