Respuesta :

To answer this question we will use the following formula to compute the volume of a pyramid:

[tex]\begin{gathered} V=\frac{lwh}{3}, \\ where\text{ l is the length of the base, w is the width of the base, and h is the height of the } \\ rectangular\text{ pyramid.} \end{gathered}[/tex]

From the given diagram we get that l=10in, w=8in, and h=6in, therefore:

[tex]V=\frac{10in*8in*6in}{3}.[/tex]

Simplifying the above result we get:

[tex]V=\frac{480in^3}{3}=160in^3.[/tex]

Answer: Option A.