Mathematics

Question

Hazel covered a box with felt. The dimensions of the box are shown in the figure below:

A rectangular prism is shown. The length of the rectangular prism is labeled as 11 inches, the height is labeled as 6 inches, and the width is labeled as 8 inches.

The felt costs 9¢ per square inch. She will only pay for the felt used to cover the box, even if there is waste or extra. How much money did Hazel spend on the felt?
Hazel covered a box with felt. The dimensions of the box are shown in the figure below: A rectangular prism is shown. The length of the rectangular prism is lab

2 Answer

  • $36.36 because the area of the prism is 404sq. in. , 404x0.09 (for nine cents per sq. in.) = 36.36
  • Answer:

    Hazel has to spend $36.36

    $36 and 36 cents.

    Step-by-step explanation:

    The given box is a rectangular box. To find the felt needed to cover the box, we need to find the surface area of the rectangular prism.

    Surface area of a rectangular prism = 2(l*w + w*h + h*l), where "l" is the length, "w" is the width and "h" is the height of the rectangular prism.

    Given: l = 11 inches; w = 8 inches; and h = 6 inches.

    Now plug in these given values in the above formula, we get

    Surface area of the rectangular prism = 2 (11* 8 + 8*6 + 6*11)

    Let's simplify it.

    = 2(88 + 48 + 66)

    = 2(202)

    = 404

    The surface area of the rectangular prism = 404  square inches.

    The felt cost 9 cents square inches.

    Convert 9 cents to dollar.

    9 cents = $0.09

    To find the cost of the felt needed to cover prism multiply 404 by 0.09

    The total cost = 404*0.09 = $36.36

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