Brooks built two similar wooden chests in the shape of rectangular prisms. She used 5 pints of paint to cover the outside of the larger chest fully and 2 pints to cover the outside of the smaller chest. How much more volume does the larger chest contain?

A. 158% more
B. 250% more
C. 300% more
D. 395% more

Question

Brooks built two similar wooden chests in the shape of rectangular prisms. She used 5 pints of paint to cover the outside of the larger chest fully and 2 pints to cover the outside of the smaller chest. How much more volume does the larger chest contain?

A.	158% more
B.	250% more
C.	300% more
D.	395% more

anonymous · Answer

Even though I have already solved this problem, I will post how I received my answer in case anyone ever needs help with the same or a similar one to this...
1. Find the ratio of the similar solids: ratio of chests is 5/2
2. Find the square root of the ratio: √5/2 = 1.58113883008 (or 1.58 when rounded)
3. Now, cube your answer: 1.58113883008(cubed) = 3.95284707521 (or 3.95 when rounded)
4. Convert decimal into a percentage: 3.95 = 395%