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thankyou so much!! i loved the way u explained it.. may u get good grades inshaAllah. good luck!OMG this question had come in our exams and i loved it
See, throughout, we apply the principle that Volume = Area * length ( whatever length of cross-section... ), and step-by-step, we find each of the variables for both the containers.
For the large container, we have the volume and area, so let's find its length-
Volume = area * length
3456 = 1024 * length
length = 3.375 cm
For the smaller container, we will first find its length in order to get its area, by comparing its values with the bigger shape as they both are similar.
Using the formula V1/v2 = (length1/length2)^3, we substitute (the formula is somewhat that, i don't know how you write it)
3456/1458 = (3.375/length2)^3
length2 = 2.53125 (don't cut off decimal numbers even after three decimal places. Use the calculator to work out the answer)
Now you have the length as well as the volume for the smaller container,
Volume = area * length
1458 = area * 2.53125
area = 576
Erm... i hope you got it :/