F and G are two rectangular containers. The base area of F is 96 cm
2 while that of G is 36 cm
2 . At first, F contained water to a height of 54 cm and G was empty, as shown.
- What was the volume of the water in F at first?
- Brandon 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
= 96 x 54
= 5184 cm
3 (b)
Total base areas
= 96 x 3 + 36
= 324 cm
2 Height of water if the total base area is 324 cm
2 = 5184 ÷ 324
= 16 cm
New height of the water level in F
= 16 x 3
= 48 cm
Answer(s): (a) 5184 cm
3; (b) 48 cm