The minimum amount of plastic wrap needed to cover the entire piece of cheese is : 84 squared inches.
A triangular prism is a solid geometrical shape made of three rectangles and two triangles.
Analysis:
base of triangle = 4 inches, height of triangle = 3 inches, length of rectangles = 7 inches
Total surface area of the triangular prism = area of two triangles + plus area of two slant rectangles + area of 1 straight face rectangle.
for the slant rectangle, the width of the rectangle, half the base of the triangle and the height of triangle form right- angled triangle using Pythagoras to solve for the width of the rectangle we have
[tex]l^{2}[/tex] = [tex]2^{2}[/tex] + [tex]3^{2}[/tex]
l = [tex]\sqrt{13}[/tex] = 3.6
Total surface area = 2(1/2bh) + 2(l x b) + L x B
= 2 ( 1/2 x 2 x 3) + 2( 7 x 3.6) + 7 x 4 = 84.4 = 84 squared inches.
in conclusion, the amount of plastic needed is 84 inches squared.
Learn more about triangular prism: brainly.com/question/1284982
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