Middle School

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Samantha is painting the outside of a box that is in the shape of a rectangular prism. It’s length is 18cm, it’s width is 6 cm, and it’s height is 3cm. What is the surface area of the box in square cm?


A. 162 cm squared

B. 180 cm squared

C. 324 cm squared

D. 360 cm squared

Samantha is painting the outside of a box that is in the shape of a rectangular prism It s length is 18cm it s width

Answer :

Final answer:

The surface area of the box is 360 cm².

Explanation:

To find the surface area of the rectangular prism, we need to find the areas of all the sides and add them together.

The formula to find the surface area is:

Surface Area = 2lw + 2lh + 2wh

Plugging in the given dimensions:

Surface Area = 2(18)(6) + 2(18)(3) + 2(6)(3) = 216 + 108 + 36 = 360 cm²

Therefore, the surface area of the box is 360 cm², which is option D.

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Rewritten by : Barada

D. 360 cm squared

Explanation:

Multiply each faces edges.

18x7(WxL)

3x6(HxW)

3x18(HxL)

multiply each equations answer by 2, because the opposite face is the same.

108x2=216

18x2=36

54x2=108

add these together to get 360 cm squared.