F and G are two rectangular containers. The base area of F is 78 cm
2 while that of G is 44 cm
2 . At first, F contained water to a height of 38 cm and G was empty, as shown.
- What was the volume of the water in F at first?
- Ken 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
= 78 x 38
= 2964 cm
3 (b)
Total base areas
= 78 + 78 + 44
= 200 cm
2 Height of water if the total base area is 200 cm
2 = 2964 ÷ 200
= 14.82 cm
New height of the water level in F
= 14.82 x 2
= 29.64 cm
Answer(s): (a) 2964 cm
3; (b) 29.64 cm