QUESTION IMAGE
Question
tristan wraps a gift - box in the shape of a right rectangular prism. the figure below shows a net for the gift. how much wrapping paper did he use, in square feet? answer
Step1: Identify the faces and their areas
The net of the right - rectangular prism has three pairs of faces.
The areas of the faces are calculated using the formula for the area of a rectangle $A = l\times w$.
Face 1: $A_1=8\times7 = 56$ square feet.
Face 2: $A_2 = 7\times6=42$ square feet.
Face 3: $A_3=8\times6 = 48$ square feet.
Step2: Calculate the surface area
The surface area $S$ of a rectangular prism is given by $S = 2(A_1+A_2+A_3)$.
$S=2(56 + 42+48)$
$S=2\times146$
$S = 292$ square feet.
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