S and T are two rectangular containers. The base area of S is 84 cm
2 while that of T is 32 cm
2 . At first, S contained water to a height of 32 cm and T was empty, as shown.
- What was the volume of the water in S at first?
- Seth then poured some water from S to T. After that, the height of the water level in S was twice that in T. What was the new height of the water level in S?
(a)
Volume of water in S
= 84 x 32
= 2688 cm
3 (b)
Total base areas
= 84 + 84 + 32
= 200 cm
2 Height of water if the total base area is 200 cm
2 = 2688 ÷ 200
= 13.44 cm
New height of the water level in S
= 13.44 x 2
= 26.88 cm
Answer(s): (a) 2688 cm
3; (b) 26.88 cm