J and K are two rectangular tanks. The base area of J is 77 cm
2 while that of K is 44 cm
2 . At first, J contained water to a height of 38 cm and K was empty, as shown.
- What was the volume of the water in J at first?
- Vincent then poured some water from J to K. After that, the height of the water level in J was thrice that in K. What was the new height of the water level in J?
(a)
Volume of water in J
= 77 x 38
= 2926 cm
3 (b)
Total base areas
= 77 x 3 + 44
= 275 cm
2 Height of water if the total base area is 275 cm
2 = 2926 ÷ 275
= 10.64 cm
New height of the water level in J
= 10.64 x 3
= 31.92 cm
Answer(s): (a) 2926 cm
3; (b) 31.92 cm