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7 June, 01:08

What is the total area of a rectangular prism with a height of 10 feet, a width of 6 feet, and a thickness of 4 feet?

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  1. 7 June, 01:27
    0
    248 sq feet

    Step-by-step explanation:

    To calculate the total surface area of a prism, you have to understand it's like a 3-D rectangular cube ... think like piece of Lego.

    You then have to calculate the area of each of the 6 faces and sum them up to get the total.

    If your prism has 10 feet high, 6 feet wide and a depth of 4 feet, that means it has the following sides:

    2 - 10 x 6 for the front and back

    2 - 10 x 4 for the lateral sides

    2 - 4 x 6 for the top and bottom.

    So, you just have to find the area of each side ... which is easy ... you know how to calculate the area of a rectangle: base * height. So,

    10x6 sides have an area of 60

    10 x 4 sides have an area of 40

    4 x 6 sides have an area of 24

    Total = 2 (60) + 2 (40) + 2 (24) = 120 + 80 + 48 = 248 sq feet of area for its surfaces.
  2. 7 June, 01:35
    0
    The area of rectangular prism = 248 square feet

    Step-by-step explanation:

    It is given that, a rectangular prism with a height of 10 feet, a width of 6 feet, and a thickness of 4 feet.

    Formula:-

    Area of cuboid = 2 (lb + lh + bh)

    Where l - Length, b - Breadth and h - Height

    To find the area of prism

    A prism is like a cuboid

    Here l = 6 feet, b = 4 feet and h = 10 feet

    Area = 2 (lb + lh + bh)

    = 2 (6*4 + 6*10 + 4*10)

    = 2 (24 + 60 + 40) = 248 square feet

    Therefore the area of rectangular prism = 248 square feet
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