K and L are two rectangular containers. The base area of K is 82 cm
2 while that of L is 36 cm
2 . At first, K contained water to a height of 42 cm and L was empty, as shown.
- What was the volume of the water in K at first?
- Bryan then poured some water from K to L. After that, the height of the water level in K was twice that in L. What was the new height of the water level in K?
(a)
Volume of water in K
= 82 x 42
= 3444 cm
3 (b)
Total base areas
= 82 + 82 + 36
= 200 cm
2 Height of water if the total base area is 200 cm
2 = 3444 ÷ 200
= 17.22 cm
New height of the water level in K
= 17.22 x 2
= 34.44 cm
Answer(s): (a) 3444 cm
3; (b) 34.44 cm