K and L are two rectangular containers. The base area of K is 73 cm
2 while that of L is 44 cm
2 . At first, K contained water to a height of 57 cm and L was empty, as shown.
- What was the volume of the water in K at first?
- Elijah 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
= 73 x 57
= 4161 cm
3 (b)
Total base areas
= 73 + 73 + 44
= 190 cm
2 Height of water if the total base area is 190 cm
2 = 4161 ÷ 190
= 21.9 cm
New height of the water level in K
= 21.9 x 2
= 43.8 cm
Answer(s): (a) 4161 cm
3; (b) 43.8 cm