K and L are two rectangular tanks. The base area of K is 78 cm
2 while that of L is 44 cm
2 . At first, K contained water to a height of 32 cm and L was empty, as shown.
- What was the volume of the water in K at first?
- Neave 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 32
= 2496 cm
3 (b)
Total base areas
= 78 + 78 + 44
= 200 cm
2 Height of water if the total base area is 200 cm
2 = 2496 ÷ 200
= 12.48 cm
New height of the water level in K
= 12.48 x 2
= 24.96 cm
Answer(s): (a) 2496 cm
3; (b) 24.96 cm