T and U are two rectangular containers. The base area of T is 98 cm
2 while that of U is 35 cm
2 . At first, T contained water to a height of 47 cm and U was empty, as shown.
- What was the volume of the water in T at first?
- Ken then poured some water from T to U. After that, the height of the water level in T was thrice that in U. What was the new height of the water level in T?
(a)
Volume of water in T
= 98 x 47
= 4606 cm
3 (b)
Total base areas
= 98 x 3 + 35
= 329 cm
2 Height of water if the total base area is 329 cm
2 = 4606 ÷ 329
= 14 cm
New height of the water level in T
= 14 x 3
= 42 cm
Answer(s): (a) 4606 cm
3; (b) 42 cm