A bottle labelled P with base area 80cm² contains 625g of oil. Calculate the base area of a similar bottle labelled Q that contains 320g of the same type of oil. Give your answer correct to 2 s.f
To find the base area of bottle Q, we can set up a proportion using the given information.
Let x be the base area of bottle Q.
Given:
Base area of bottle P = 80 cm²
Weight of oil in bottle P = 625g
Weight of oil in bottle Q = 320g
Since the bottles are similar, the ratio of their base areas is equal to the ratio of the weights of oil they contain:
80/x = 625/320
Cross multiply:
80 * 320 = 625 * x
25600 = 625x
Divide by 625:
x = 25600 / 625
x ≈ 40.96
Therefore, the base area of bottle Q is approximately 40.96 cm² when rounded to 2 significant figures.