QUESTION IMAGE
Question
enjar wraps a gift - box in the shape of a right rectangular prism. the figure below shows a net for the
13 m
10 m
10 m
12 m
10 m
10 m
12 m
how much wrapping paper did he use, in square meters?
answer
a
m²
Step1: Identify the faces of the prism
The right - rectangular prism has 6 faces. The dimensions of the faces are: two faces with dimensions 10m×13m, two faces with dimensions 10m×12m, and two faces with dimensions 12m×13m.
Step2: Calculate the area of each pair of faces
For the 10m×13m faces: $A_1 = 2\times(10\times13)=2\times130 = 260$ square meters.
For the 10m×12m faces: $A_2=2\times(10\times12)=2\times120 = 240$ square meters.
For the 12m×13m faces: $A_3=2\times(12\times13)=2\times156 = 312$ square meters.
Step3: Calculate the total surface area
The total surface area $A = A_1+A_2+A_3$.
$A=260 + 240+312=812$ square meters.
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