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Big Ideas:
Formulas for finding volume use variables for which measurements can be substituted.
Formulas for finding volume work in reverse when the volume is known and there is a missing measure.
This lesson builds on students' work finding the volume of rectangular prisms using the formulas V = lwh and V = Bh. This task requires students to use division and algebraic reasoning to find missing measures of three rectangular prism suitcases. Students explore how to rewrite V = lwh as V / (l*w) = h and reason that the formula can be adjusted to find any one of the three dimensions. This lesson develops algebraic reasoning, incorporates fraction division, and connects to finding volume of more complex figures in 7th-8th grade.
Vocabulary: 3-dimensional figure, base of a geometric solid, cubic units, edge, edge length, exponent, formula, geometric solid, height, length, volume, width