Nikki use some cloth to make a miniature tent, as shown in the figure. How much cloth did she use to make the tent? A.
61 square inches
B.
140 square inches
C.
272 square inches
D.
296 square inches
E.
300 square inches

D.  296 square inches

Step-by-step explanation:

The surface area of a prism is the total area of all its faces.

A triangular prism has three rectangular faces and two triangular faces.

As all 3 sides of the triangle face of this prism are equal, each of the 3 rectangular faces are also equal in area.

Formulae

From inspection of the diagram:

⇒ Area of a triangle = 1/2 x 8 x 7 = 28 in²

⇒ Area of a rectangle = 8 x 10 = 80 in²

Total surface area

Total surface area = 3 rectangle areas + 2 triangle areas

                              = (3 x 80) + (2 x 28)

                              = 296 in²