K and L are two rectangular tanks. The base area of K is 90 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?
- Xavier 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
= 90 x 42
= 3780 cm
3 (b)
Total base areas
= 90 + 90 + 30
= 210 cm
2 Height of water if the total base area is 210 cm
2 = 3780 ÷ 210
= 18 cm
New height of the water level in K
= 18 x 2
= 36 cm
Answer(s): (a) 3780 cm
3; (b) 36 cm