K and L are two rectangular containers. The base area of K is 76 cm
2 while that of L is 38 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?
- Peter 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
= 76 x 40
= 3040 cm
3 (b)
Total base areas
= 76 + 76 + 38
= 190 cm
2 Height of water if the total base area is 190 cm
2 = 3040 ÷ 190
= 16 cm
New height of the water level in K
= 16 x 2
= 32 cm
Answer(s): (a) 3040 cm
3; (b) 32 cm