In the net of a rectangular prism, each square of the grid is 1 square meter. What is the surface area of the prism?
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Answer: 172 square meter square
Step-by-step explanation:
Area of Rectangular prism is given as :
A = 2 (wl + hl + hw)
Where :
w = width
h = height
l = length
Calculating the area of rectangular prism given , the shape given is divided into six segments , each segment is a triangle , all we need to do is to find the area of each segment and add.
Area of the first segment = 7 x 8 = 56 ( there are 7 boxes horizontally and 8 boxes vertically)
second segment = 2 x 8 = 16
third segment = 7 x 8 = 56
fourth = 2 x 8 = 16
fifth = 2 x 7 = 14
sixth segment = 2 x 7 = 14
Therefore , area of the rectangular prism will be
A = 56 + 16 +56 + 16 + 14 + 14
A = 172