R and S are two rectangular tanks. The base area of R is 92 cm
2 while that of S is 44 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?
- Howard then poured some water from R to S. After that, the height of the water level in R was thrice that in S. What was the new height of the water level in R?
(a)
Volume of water in R
= 92 x 44
= 4048 cm
3 (b)
Total base areas
= 92 x 3 + 44
= 320 cm
2 Height of water if the total base area is 320 cm
2 = 4048 ÷ 320
= 12.65 cm
New height of the water level in R
= 12.65 x 3
= 37.95 cm
Answer(s): (a) 4048 cm
3; (b) 37.95 cm