R and S are two rectangular tanks. The base area of R is 79 cm
2 while that of S is 42 cm
2 . At first, R contained water to a height of 44 cm and S was empty, as shown.
- What was the volume of the water in R at first?
- Ryan 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
= 79 x 44
= 3476 cm
3 (b)
Total base areas
= 79 + 79 + 42
= 200 cm
2 Height of water if the total base area is 200 cm
2 = 3476 ÷ 200
= 17.38 cm
New height of the water level in R
= 17.38 x 2
= 34.76 cm
Answer(s): (a) 3476 cm
3; (b) 34.76 cm