Question

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

A)
20 cm2


B)
36 cm2


C)
54 cm2


D)
58 cm2

Answer 1

D) 58
`cm^(2)`

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)`