Question

A right rectangular prism is shown. The two dimensional net is also shown. Find the surface area of this prism.

Answer 1

Answer:

D) 58 $cm^{2}$

Step-by-step explanation:

The total surface area consists of the addition of the areas of the rectangles that make the faces of this prism. So recall that the area of a rectangle is given by the product: length x width. We use that formula to calculate each area of the rectangles involved and which are shown in different colors

There are two yellow rectangles that measure 4 cm by 1 cm so we include the area: 4 cm x 1 cm = 4 $cm^{2}$ (twice) --> 2 x 4 $cm^{2}$ = 8 $cm^{2}$

There are two orange rectangles that measure 5 cm by 1 cm so we include this area 5 cm x 1 cm = 5 $cm^{2}$ twice --> 2 x 5 $cm^{2}$ = 10 $cm^{2}$

There are two green rectangles that measure 4 cm by 5 cm so we include this area 4 cm x 5 cm = 20 $cm^{2}$ twice --> 2 x 20 $cm^{2}$ = 40 $cm^{2}$

The addition of all these areas gives:

8 $cm^{2}$ + 10 $cm^{2}$ + 40 $cm^{2}$ = 58 $cm^{2}$