Question

during a large digging expedition, about 450 cubic feet of dirt was dug from the ground and placed in a pile. about 1,800 small basalt rocks were found scattered through the pile. about how many basalt rocks per cubic foot were in the pile? 4 rocks/ft³ 3 rocks/ft³ 3.75 rocks/ft³ 0.25 rocks/ft³ 2 rocks/ft³

Explanation:

Step1: Identify the formula

To find the number of basalt rocks per cubic foot, we use the formula: \(\text{Number of rocks per cubic foot} = \frac{\text{Total number of rocks}}{\text{Total cubic feet of dirt}}\)

Step2: Substitute the values

We know the total number of rocks is \(1800\) and the total cubic feet of dirt is \(450\). So we calculate \(\frac{1800}{450}\)

Step3: Perform the division

\(\frac{1800}{450} = 4\)

Answer:

4 rocks/ft³