Math Problem Statement

if a box is .3 cubic feet, how many boxes will fit in 15,000 cubic feet

Solution

To determine how many boxes will fit in 15,000 cubic feet, we divide the total volume by the volume of a single box:

Number of boxes=15,000cubic feet0.3cubic feet/box\text{Number of boxes} = \frac{15,000 \, \text{cubic feet}}{0.3 \, \text{cubic feet/box}}

Number of boxes=50,000\text{Number of boxes} = 50,000

So, 50,000 boxes will fit in 15,000 cubic feet.

Would you like further details or clarification on any part?

Here are 5 related questions:

  1. What if the volume of the box were 0.5 cubic feet?
  2. How many boxes will fit if the total volume is 10,000 cubic feet?
  3. What if the boxes were rectangular instead of cubic? How would the dimensions change the answer?
  4. How much space is left if only 49,500 boxes fit in 15,000 cubic feet?
  5. How would you calculate the volume of a box with given dimensions?

Tip: Always ensure the units you're working with match (e.g., cubic feet, cubic meters) when dealing with volume problems.

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Math Problem Analysis

Mathematical Concepts

Volume
Division

Formulas

Number of boxes = Total volume / Volume of a single box

Theorems

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Suitable Grade Level

Grades 6-8