F and G are two rectangular tanks. The base area of F is 90 cm
2 while that of G is 36 cm
2 . At first, F contained water to a height of 60 cm and G was empty, as shown.
- What was the volume of the water in F at first?
- Luis then poured some water from F to G. After that, the height of the water level in F was twice that in G. What was the new height of the water level in F?
(a)
Volume of water in F
= 90 x 60
= 5400 cm
3 (b)
Total base areas
= 90 + 90 + 36
= 216 cm
2 Height of water if the total base area is 216 cm
2 = 5400 ÷ 216
= 25 cm
New height of the water level in F
= 25 x 2
= 50 cm
Answer(s): (a) 5400 cm
3; (b) 50 cm