K and L are two rectangular containers. The base area of K is 70 cm
2 while that of L is 30 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?
- Lee then poured some water from K to L. After that, the height of the water level in K was thrice that in L. What was the new height of the water level in K?
(a)
Volume of water in K
= 70 x 42
= 2940 cm
3 (b)
Total base areas
= 70 x 3 + 30
= 240 cm
2 Height of water if the total base area is 240 cm
2 = 2940 ÷ 240
= 12.25 cm
New height of the water level in K
= 12.25 x 3
= 36.75 cm
Answer(s): (a) 2940 cm
3; (b) 36.75 cm