Find the volume of a prism with triangular bases where the perimeter of the base = 16", apothem = x", and the prism height = 10". Use V =Bh and A = 1/2 ap for the area of the base.

Question

11-04-2017
Mathematics

contestada

Find the volume of a prism with triangular bases where the perimeter of the base = 16", apothem = x", and the prism height = 10". Use V =Bh and A = 1/2 ap for the area of the base.

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taskmasters taskmasters · Answer 1 · 2017-04-23T00:20:44+02:00

First, calculate for the area of the base by the equation given,
A = 1/2aP
where A is area, a is apothem, and P is perimeter. Substituting the known values,
A = 1/2(x)(16") = 8x in²
Next, solve for the volume of the prism by the equation,
V = Bh = (8x in²)(10 in)
V = 80x in³
Thus, the volume of the prism is approximately 80x in³.