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A solid is composed of squares and equilateral triangles. Its net is shown below:

A triangular prism and its net are shown. The net is three squares with side length 4 units. Attached above and below the middle square are equal sized triangles.

The area of each triangle is 7 square units. The surface area of the triangular prism is _____ square units. (Input whole number only.)

Answer 1

Answer:

62

Step-by-step explanation:

The side length of each of the three squares is 4 units.  This means the area of each would be 4² = 16 sq. units.  For the three, this means the total area is 16(3) = 48 sq. units.

The area of each triangle is 7 sq. units; this means together the area of the two triangles is 2(7) = 14 sq. units.

Together this makes the surface area of the prism 14+48 = 62 sq. units.

Answer 2

The surface area of the prism is 62 sq. units.

To find the surface area of the triangular prism in square units.

What is prism?

A solid geometric figure whose two ends are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.

The side length of each of the three squares is 4 units. This means the area of each would be 4² = 16 sq. units.  For the three, this means the total area is 16(3) = 48 sq. units.

The area of each triangle is 7 sq. units; this means together the area of the two triangles is 2(7) = 14 sq. units.

Together this makes the surface area of the prism 14+48 = 62 sq. units.

So, the surface area of the prism is 62 sq. units.

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