Question

find the volume of the solid figure.
the volume is
image of a composite solid with dimensions: 11 m (height of main part), 8 m (length of main part), 5 m (width of main part); a smaller part with 6 m (length), 3 m (width), 2 m (height) and 5 m (height from the top of smaller part to top of main part) and 8 m (height from bottom to top of smaller part)

Explanation:

Step1: Split into two rectangular prisms

We can divide the solid into a larger prism and a smaller prism that is the "notch" subtracted, or split it into two separate prisms. We'll use the method of calculating the volume of the full large prism minus the volume of the missing smaller prism.
Full prism dimensions: $11\,\text{m} \times 8\,\text{m} \times 5\,\text{m}$
Missing prism dimensions: $2\,\text{m} \times 3\,\text{m} \times 5\,\text{m}$

Step2: Calculate volume of full prism

Volume formula for a rectangular prism: $V = l \times w \times h$
$V_{\text{full}} = 11 \times 8 \times 5 = 440\,\text{m}^3$

Step3: Calculate volume of missing prism

$V_{\text{missing}} = 2 \times 3 \times 5 = 30\,\text{m}^3$

Step4: Subtract to find total volume

Subtract the missing volume from the full volume to get the volume of the solid.
$V_{\text{total}} = V_{\text{full}} - V_{\text{missing}} = 440 - 30$

Answer:

$410\,\text{m}^3$