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Answer:

From the measure the picture provides us, we can conclude that the prism is a cube, which also tells us that all 6 sides of this prism have equal surface area, so we only need to calculate one of them and multiply the result by 6:

The surface area of one side of the cube should be: 2/3 . 2/3 = 4/9 (ft²)

The surface area of the prism should be: 4/9 . 6 = 24/9 = 8/3 (ft²)

A prism is a polyhedron composed of an n-sided polygon basis. The surface area of the prism is 8/3 ft².

What is a prism?

A prism is a polyhedron composed of an n-sided polygon basis, a second base that is a translated duplicate of the first, and n additional faces, all of which must be parallelograms, connecting the two bases. All parallel cross-sections to the bases are translations of the bases.

Given the length of the side is 2/3 ft. Therefore, the surface area of the given prism can be written as,

The surface area of the prism = 6s² = 6(2/3)² ft² = 8/3 ft²

Hence, the surface area of the prism is 8/3 ft².

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