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9 December, 20:05

Find the volume of the triangular prism described below.

The base is a 45°-45°-90° triangle with a leg of 8 in. The height is 1.8 in.

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  1. 9 December, 20:13
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    The volume of the rectangular prism is 57.6in³

    Step-by-step explanation:

    First of all we need to calculate the area of the triangle, as the triangle has two 45 ° angles this means that it has 2 equal legs

    a = area

    a = (8in * 8in) / 2

    a = 64in²/2

    a = 32in²

    To calculate the volume of a rectangular prism we have to use the following formula:

    a = area = 32 in²

    v = volume

    h = height = 1.8in

    v = a * h

    we replace the values that we know

    v = 32in² * 1.8in

    v = 57.6in³

    The volume of the rectangular prism is 57.6in³
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