Question

find the volume of the solid figure.
the volume is
(the figure shows a composite solid with dimensions: lower part: 5 m (width), 13 m (length), 6 m (height); upper part: 4 m (width), 5 m (length), 5 m (height), and other related dimensions like 9 m, 11 m as part of the figures structure.)

Explanation:

Step1: Split into two rectangular prisms

We can divide the solid into a lower larger prism and an upper smaller prism.

Step2: Calculate volume of lower prism

Volume formula: $V = l \times w \times h$. For the lower prism: $l=13\ \text{m}$, $w=5\ \text{m}$, $h=6\ \text{m}$
$V_1 = 13 \times 5 \times 6 = 390\ \text{m}^3$

Step3: Calculate height of upper prism

Upper prism height: $11 - 6 = 5\ \text{m}$

Step4: Calculate volume of upper prism

For the upper prism: $l=5\ \text{m}$, $w=4\ \text{m}$, $h=5\ \text{m}$
$V_2 = 5 \times 4 \times 5 = 100\ \text{m}^3$

Step5: Sum the two volumes

Total volume is the sum of $V_1$ and $V_2$.
$V_{\text{total}} = 390 + 100 = 490\ \text{m}^3$

Answer:

$490$ cubic meters