K and L are two rectangular containers. The base area of K is 86 cm
2 while that of L is 42 cm
2 . At first, K contained water to a height of 54 cm and L was empty, as shown.
- What was the volume of the water in K at first?
- Japheth 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
= 86 x 54
= 4644 cm
3 (b)
Total base areas
= 86 x 3 + 42
= 300 cm
2 Height of water if the total base area is 300 cm
2 = 4644 ÷ 300
= 15.48 cm
New height of the water level in K
= 15.48 x 3
= 46.44 cm
Answer(s): (a) 4644 cm
3; (b) 46.44 cm