Problem preview
MF.GM.6 Standard MF-053-A05-V01

Find and interpret volume of prisms and cylinders using correct units.

Use volume for inside-space contexts

Problem

Calculate the inside volume, in cubic feet, of a rectangular storage box that is \(4~\text{feet}\) long, \(3~\text{feet}\) wide, and \(2~\text{feet}\) high.

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What this problem is really about

The phrase “inside space” signals a three-dimensional capacity rather than an exterior covering. Model the rectangular box as layers by multiplying its length and width for one layer, then multiply by height for all layers. Carrying feet through all three factors produces cubic feet, which distinguishes the result from surface area.

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Four variants of this problem type
Curriculum context
Standard
MF.GM.6
Category
Geometry and Measurement
Domain
Three-Dimensional Measurement
Objective
Find and interpret volume of prisms and cylinders using correct units.
Problem type
Use volume for inside-space contexts