Question

What is the surface area of the rectangular prism

represented by the net shown?
6 in.
1.5 in.
1.5.in.

Answer 1

40.5 in²

Explanation:

Formula applied :

Surface Area (rectangular prism)

⇒ 2(Length × Width + Width × Height + Length × Height)

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Given :

⇒ Length = 6 inches

⇒ Width = 1.5 inches

⇒ Height = 1.5 inches

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Solving :

⇒ Surface Area = 2(6 × 1.5 + 1.5 × 1.5 + 6 × 1.5)

⇒ Surface Area = 2(9 + 2.25 + 9)

⇒ Surface Area = 2 × 20.25

⇒ Surface Area = 40.5 in²

Answer 2

#2

The shape can be cut into four rectangles and two squares.

Total surface area:

⇒ four rectangles + two squares

⇒ 4(Length × Width) + 2(side × side)

⇒ 4(6 × 1.5) + 2(1.5 × 1.5)

⇒ 36 + 4.5

⇒ 40.5 inch²

Therefore, the surface area of the rectangular prism is 40.5 inch²

#3

The polygons that would be used in this net surface area are:

✔ rectangle

✔ square