find the volume of the solid below.

Explanation:

Step1: Consider the solid as a large rectangular - prism minus a small rectangular - prism.

The volume formula for a rectangular prism is $V = l\times w\times h$. The dimensions of the large rectangular prism are $l = 9$ cm, $w = 8$ cm, and $h = 10$ cm. So its volume $V_1=9\times8\times10 = 720$ $cm^3$.

Step2: Determine the dimensions of the small rectangular prism.

The small rectangular prism has $l = 4$ cm, $w = 1$ cm, and $h=(10 - 4 - 4)=2$ cm. So its volume $V_2 = 4\times1\times2=8$ $cm^3$.

Step3: Calculate the volume of the given solid.

The volume of the solid $V = V_1-V_2$. $V=720 - 8=712$ $cm^3$.

Answer:

$712$ $cm^3$