Math Problem Statement

A rectangular prism is filled with cubes as shown below which expression represents the volume of the prism in cubic inches

Solution

To find the volume of a rectangular prism filled with cubes, we use the formula:

Volume=length×width×height\text{Volume} = \text{length} \times \text{width} \times \text{height}

Each of these dimensions is given in terms of the number of cubes that fit along each edge. Let’s denote:

  • The length of the prism as ll,
  • The width of the prism as ww, and
  • The height of the prism as (

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume Calculation

Formulas

Volume of a rectangular prism = length × width × height

Theorems

Volume calculation principles for rectangular prisms

Suitable Grade Level

Grades 5-7