F and G are two rectangular tanks. The base area of F is 84 cm
2 while that of G is 38 cm
2 . At first, F contained water to a height of 58 cm and G was empty, as shown.
- What was the volume of the water in F at first?
- Neave then poured some water from F to G. After that, the height of the water level in F was thrice that in G. What was the new height of the water level in F?
(a)
Volume of water in F
= 84 x 58
= 4872 cm
3 (b)
Total base areas
= 84 x 3 + 38
= 290 cm
2 Height of water if the total base area is 290 cm
2 = 4872 ÷ 290
= 16.8 cm
New height of the water level in F
= 16.8 x 3
= 50.4 cm
Answer(s): (a) 4872 cm
3; (b) 50.4 cm