Answer:
144 square inches
Step-by-step explanation:
Total surface area of the rectangular prism = Sum of all the area of its sides
Since it has a square base which can be covered by 16 squares of length 1 inch each, then;
length of its base = 4 inches
So that,
i. Area of its base = [tex]length^{2}[/tex]
= [tex]4^{2}[/tex]
area of its base = 16 square inches
ii. Area of one of the surfaces of its sides = length x width (or base x height)
= 4 x 7
= 28 square inches
Sum of the area of its vertical sides = 4 x 28
= 112 square inches
Thus,
Total surface area of the prism = 16 + 16 + 112
= 144 square inches
