Question

what is the volume of this figure?
8 m
3 m
3 m
3 m
12 m
7 m
4 m
4 m
5 m
cubic meters
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Explanation:

Step1: Calculate volume of largest prism

Volume formula: $V = l \times w \times h$
$V_1 = 8 \times 4 \times 12 = 384$ cubic meters

Step2: Calculate volume of medium prism

$V_2 = 5 \times 4 \times 7 = 140$ cubic meters

Step3: Calculate volume of small cube

$V_3 = 3 \times 3 \times 3 = 27$ cubic meters

Step4: Sum all volumes

Total $V = V_1 + V_2 + V_3$
$V = 384 + 140 + 27 = 551$

Answer:

551 cubic meters