The surface area of prism is 185.815 square inches
Solution:
Given that,
[tex]Length = 2\frac{1}{3}\ inches = \frac{3 \times 2 + 1}{3} = \frac{7}{3}\ inches = 2.33\ inches[/tex]
[tex]Width = 8\frac{1}{2}\ inches = \frac{17}{2}\ inches = 8.5\ inches[/tex]
[tex]Height = 6\frac{3}{4}\ inches = \frac{27}{4}\ inches = 6.75\ inches[/tex]
The surface area of package is given as:
[tex]A=2(wl+hl+hw)[/tex]
Where,
"l" is the length
"w" is the width
"h" is the height
Substituting the values we get,
[tex]A = 2((8.5 \times 2.33) + (6.75 \times 2.33) + (6.75 \times 8.5))\\\\Simplify\ the\ above\ equation\\\\A = 2(19.805+15.7275+57.375)\\\\A = 2 \times 92.9075\\\\A = 185.815[/tex]
Thus the surface area of prism is 185.815 square inches
