F and G are two rectangular tanks. The base area of F is 82 cm
2 while that of G is 44 cm
2 . At first, F contained water to a height of 52 cm and G was empty, as shown.
- What was the volume of the water in F at first?
- Simon 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
= 82 x 52
= 4264 cm
3 (b)
Total base areas
= 82 + 82 + 44
= 208 cm
2 Height of water if the total base area is 208 cm
2 = 4264 ÷ 208
= 20.5 cm
New height of the water level in F
= 20.5 x 2
= 41 cm
Answer(s): (a) 4264 cm
3; (b) 41 cm