K and L are two rectangular containers. The base area of K is 90 cm
2 while that of L is 50 cm
2 . At first, K contained water to a height of 40 cm and L was empty, as shown.
- What was the volume of the water in K at first?
- Dylan 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
= 90 x 40
= 3600 cm
3 (b)
Total base areas
= 90 x 3 + 50
= 320 cm
2 Height of water if the total base area is 320 cm
2 = 3600 ÷ 320
= 11.25 cm
New height of the water level in K
= 11.25 x 3
= 33.75 cm
Answer(s): (a) 3600 cm
3; (b) 33.75 cm