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MF.GM.5 Warmup MF-052-A02-V02

Find and interpret surface area of prisms and cylinders.

Add the face areas from a net

Problem

A triangular prism has a net made of \(3~\text{rectangles}\) and \(2~\text{congruent}~\text{triangles}\). The rectangles measure \(9~\text{units}~by~4~\text{units}\), \(9~\text{units}~by~5~\text{units}\), and \(9~\text{units}~by~6~\text{units}\). Each triangle has side lengths \(4,~5,~\text{and}~6~\text{units}\), and its area is \(9.9~\text{square}~\text{units}\). Find the total surface area of the prism.

A valid triangular-prism net with three labeled rectangles and two congruent triangular ends. Open full size
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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
Add the face areas from a net