Problem preview
MF.GM.5 Challenge MF-052-A12-V03

Find and interpret surface area of prisms and cylinders.

Find every matching surface-area representation

Problem

A company needs enough material to cover the entire outside of \(\text{each}~\text{package}\), with no openings or missing faces. Identify \(\text{every}~\text{card}\) that matches this situation.

Card 1: A rectangular-prism gift box that is \(8~\text{inches}\) by \(4~\text{inches}\) by \(3~\text{inches}\), with wrapping paper covering \(\text{all}\) \(6~\text{faces}\).
Card 2: A shipping crate that is \(8~\text{inches}\) by \(4~\text{inches}\) by \(3~\text{inches}\), with the bottom left uncovered on the pallet.
Card 3: A closed cylindrical oatmeal container with radius \(2~\text{inches}\) and height \(9~\text{inches}\), including the top and bottom.
Card 4: A soup-can label that covers only the curved side of a cylinder.
Card 5: A prism net showing \(\text{exactly}\) \(6~\text{faces}\) that fold into a closed box.
Card 6: A cylinder net showing \(\text{one}~\text{rectangle}\) and only \(\text{one}~\text{circle}\).

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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