Question

what is the volume of this figure? 1 m 3 m 1 m 3 m 10 m 2 m cubic meters

Explanation:

Step1: Calculate volume of small cuboid

The volume formula for a cuboid is $V = l\times w\times h$. For the small cuboid, $l = 3m$, $w = 2m$, $h = 1m$. So $V_1=3\times2\times1 = 6m^{3}$.

Step2: Calculate volume of large cuboid

For the large cuboid, $l = 10m$, $w = 2m$, $h = 3m$. So $V_2 = 10\times2\times3=60m^{3}$.

Step3: Calculate total volume

The total volume $V$ of the figure is the sum of the volumes of the two cuboids, $V=V_1 + V_2=6 + 60=66m^{3}$.

Answer:

66