The problem asks us to find the volume of an oblique rectangular pyramid. The dimensions of the rectangular base are 5 inches and 8 inches, and the height of the pyramid is 6 inches.

1. Problem Description

The problem asks us to find the volume of an oblique rectangular pyramid. The dimensions of the rectangular base are 5 inches and 8 inches, and the height of the pyramid is 6 inches.

2. Solution Steps

The formula for the volume of a pyramid is:

$V = \frac{1}{3} * A * h$

where $V$ is the volume, $A$ is the area of the base, and $h$ is the height of the pyramid.

Since the base is a rectangle, the area of the base is:

$A = l * w$

where $l$ is the length and $w$ is the width. In this case, $l = 8$ in and $w = 5$ in. Thus,

$A = 8 \text{ in} * 5 \text{ in} = 40 \text{ in}^2$

The height of the pyramid is given as $h = 6$ in.

Now we can plug the values into the volume formula:

$V = \frac{1}{3} * A * h = \frac{1}{3} * (40 \text{ in}^2) * (6 \text{ in}) = \frac{1}{3} * 240 \text{ in}^3 = 80 \text{ in}^3$

3. Final Answer

The volume of the oblique rectangular pyramid is 80 in^3.