R and S are two rectangular tanks. The base area of R is 74 cm
2 while that of S is 34 cm
2 . At first, R contained water to a height of 32 cm and S was empty, as shown.
- What was the volume of the water in R at first?
- Ahmad 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
= 74 x 32
= 2368 cm
3 (b)
Total base areas
= 74 x 3 + 34
= 256 cm
2 Height of water if the total base area is 256 cm
2 = 2368 ÷ 256
= 9.25 cm
New height of the water level in R
= 9.25 x 3
= 27.75 cm
Answer(s): (a) 2368 cm
3; (b) 27.75 cm