Problem preview
MF.GM.5 Challenge MF-052-A12-V02

Find and interpret surface area of prisms and cylinders.

Find every matching surface-area representation

Problem

A metal can is a closed cylinder with radius \(3~\text{centimeters}\) and height \(5~\text{centimeters}\). Identify \(\text{every}~\text{card}\) that correctly represents its total outside surface area.

Card 1: \(\text{Two}~\text{circles}\) of area \(9\pi~\) each and \(\text{one}~\text{rectangle}\) measuring \(6\pi~\) by \(5\).
Card 2: The expression \(2\pi~(3)(5)~+~2\pi~(3^{2})\).
Card 3: The expression \(\pi~(3^{2})(5)\).
Card 4: A label that wraps only around the curved side of the can.
Card 5: A net made of \(\text{one}~\text{rectangle}\) with area \(30\pi~\) and \(\text{two}~\text{circles}\) with total area \(18\pi~\).
Card 6: The expression \(2\pi~(3~+~5)\).

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Four variants of this problem type
Curriculum context
Standard
MF.GM.5
Category
Geometry and Measurement
Domain
Three-Dimensional Measurement
Objective
Find and interpret surface area of prisms and cylinders.
Problem type
Find every matching surface-area representation