Question

select all that apply.
a ( v = 80 mathrm { ft } ^ { 3 } )
b ( v = 200 mathrm { ft } ^ { 3 } )
c ( v = 400 mathrm { ft } ^ { 3 } )

Explanation:

Step1: Calculate the area of the triangular base

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base of the triangle is \(8\) ft and the height is \(10\) ft.

$$ A=\frac{1}{2}\times8\times10 = 40\space ft^{2} $$

Step2: Calculate the volume of the triangular prism

The formula for the volume of a prism is \(V = A\times h\) (where \(A\) is the area of the base and \(h\) is the height of the prism). The height of the prism is \(5\) ft.

$$ V=40\times5=200\space ft^{3} $$

Answer:

B. \(V = 200\space ft^{3}\)