N and P are two rectangular tanks. The base area of N is 78 cm
2 while that of P is 36 cm
2 . At first, N contained water to a height of 56 cm and P was empty, as shown.
- What was the volume of the water in N at first?
- Cole then poured some water from N to P. After that, the height of the water level in N was twice that in P. What was the new height of the water level in N?
(a)
Volume of water in N
= 78 x 56
= 4368 cm
3 (b)
Total base areas
= 78 + 78 + 36
= 192 cm
2 Height of water if the total base area is 192 cm
2 = 4368 ÷ 192
= 22.75 cm
New height of the water level in N
= 22.75 x 2
= 45.5 cm
Answer(s): (a) 4368 cm
3; (b) 45.5 cm