Question

Leon has a piece of cheese shaped like a triangular prism that he needs to wrap in plastic wrap.




What is the minimum amount of plastic wrap that he needs to cover the entire piece of cheese?
42 squared
84 squared
96 squared
108 squared

Answer 1

The answer is 96 inches squared

Answer 2

Answer:

Option C. 96 in² is the answer.

Step-by-step explanation:

Leon has a piece of cheese, shaped like a triangular prism.

He needs a plastic wrap to cover this prism.

For this we have to calculate the minimum amount of plastic wrap he will require to cover.

Amount of plastic wrap required = Total surface area of the wrap = Surface area of the triangular cheese

Surface area of the wrap = Area of two side triangles + Area of the rectangular sides

= $2(\frac{1}{2})(Base)(Height) + 3(Length)(Width)$

= (Base × Height) + 3(length)(Width)

= (3×4) + 3(7×4)

= 12 + (3×28)

= 12 + 84

= 96 in²

Option C. 96 in² is the correct option.