Question

what is the volume of this figure?
3 m
6 m
12 m
3 m
8 m
cubic meters

Explanation:

Step1: Split into two rectangular prisms

We can divide the L-shaped figure into two separate rectangular prisms:
Prism 1: Dimensions $12\ \text{m} \times 3\ \text{m} \times 6\ \text{m}$
Prism 2: Dimensions $(8-3)\ \text{m} \times 3\ \text{m} \times 6\ \text{m} = 5\ \text{m} \times 3\ \text{m} \times 6\ \text{m}$

Step2: Calculate volume of Prism 1

Volume formula: $V = l \times w \times h$
$V_1 = 12 \times 3 \times 6 = 216\ \text{cubic meters}$

Step3: Calculate volume of Prism 2

$V_2 = 5 \times 3 \times 6 = 90\ \text{cubic meters}$

Step4: Sum the two volumes

Total volume = $V_1 + V_2$
$V_{\text{total}} = 216 + 90$

Answer:

216 cubic meters