Question

If the empirical ratio for number of blocks in a box is 2 blocks per cubic inch, approximately how many blocks should fit in the box shown below?

A. 30 blocks

B. 60 blocks

C. 120 blocks

D. 240 blocks

Answer 1

C. 120 blocks

Explanation:

If the empirical ratio for number of blocks in a box is 2 blocks per cubic inch, you can approximately fit 120 blocks in the box shown.

V = 10 inches ⋅ 3 inches ⋅ 2 inches = 60 in^3

Answer 2

120 blocks

Explanation:

You can fit 2 blocks per cubic inch.

Find the volume of the box in cubic inches and multiply by 2.

volume = length * width * height

V = (10 in)(3 in)(2 in) = 60 in^3

The volume in cubic inches is 60.

Now we multiply the volume in cubic inches by 2:

2 * 60 = 120

Answer: 120 blocks

You are correct.