A pencil box has a length of 10 inches and a volume of 64 cubic inches. A similar pencil box has a volume of 512 cubic inches.
3 answers
What is your question?
I will assume you want the length of the larger box, since you say they are similar..
volumes of similar objects are proportional to the cube of their corresponding sides
so , if the length of the larger box is x inches
x^3/10^3 = 512/64 = 8^3/4^3
take cube root of both sides
x/10 = 8/4 = 2
x = 20
volumes of similar objects are proportional to the cube of their corresponding sides
so , if the length of the larger box is x inches
x^3/10^3 = 512/64 = 8^3/4^3
take cube root of both sides
x/10 = 8/4 = 2
x = 20
what is the length of a pencil box by inches
1 answer