Question

Students conducted a study of different sized containers and found that the box shown held 240 blocks. What is the empirical ratio of blocks per cubic inch?

A. 120 blocks per cubic inch

B. 2 blocks per cubic inch

C. 0.5 blocks per cubic inch

D. 240 blocks per cubic inch

Answer 1

B. 2 blocks per cubic inch

Explanation:

Students conducted a study of different sized containers and found that the box shown held 240 blocks. The empirical ratio of blocks per cubic inch is 2 blocks per cubic inch.

Answer 2

B. 2 blocks per cubic inch

Explanation:

The volume in cubic inches is the product of the dimensions in inches. The ratio of blocks per cubic inch is found by dividing the number blocks by the number of cubic inches. (Effectively, "per" means "divided by".)

(240 blocks)/((6 in)(4 in)(5 in)) = 240/120 blocks/in³ = 2 blocks/in³