Find the surface area of the tin game case.

The tin game's surface area 177 inch².

Step-by-step explanation:

Step 1:

To calculate the triangular prism's surface area, we calculate the areas of all the 5 sides.

We divide the prism into 2 triangles and 3 rectangles, find the area individually and then sum them all up in order to determine the entire triangular prism's area.

Step 2:

There are two triangles with base lengths of 10 inches and heights of 8.7 inches. To calculate a triangle's area we multiply with the product of the base length and it's height.

Area of 1 triangle = inch².

Area of both triangles = Area of 1 triangle × 2 = = 87 inch².

Step 3:

There are three rectangles with a common length of 10 inches and a width of 3 inches.

Any rectangle's area is given by multiplying the rectangle's length with its width.

Area of the 1 rectangle = inch².

Area of 3 rectangles = inch².

Step 4:

The area of the entire triangular prism = inch².

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step-by-step explanation: