F and G are two rectangular containers. The base area of F is 72 cm
2 while that of G is 40 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?
- Nick 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
= 72 x 52
= 3744 cm
3 (b)
Total base areas
= 72 x 3 + 40
= 256 cm
2 Height of water if the total base area is 256 cm
2 = 3744 ÷ 256
= 14.625 cm
New height of the water level in F
= 14.625 x 3
= 43.875 cm
Answer(s): (a) 3744 cm
3; (b) 43.875 cm