K and L are two rectangular tanks. The base area of K is 78 cm
2 while that of L is 39 cm
2 . At first, K contained water to a height of 31 cm and L was empty, as shown.
- What was the volume of the water in K at first?
- Ken 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
= 78 x 31
= 2418 cm
3 (b)
Total base areas
= 78 + 78 + 39
= 195 cm
2 Height of water if the total base area is 195 cm
2 = 2418 ÷ 195
= 12.4 cm
New height of the water level in K
= 12.4 x 2
= 24.8 cm
Answer(s): (a) 2418 cm
3; (b) 24.8 cm