Question

what is the volume of this figure? cubic meters

Explanation:

Step1: Calculate volume of large cuboid

The volume formula for a cuboid is $V = l\times w\times h$. For the large cuboid, $l = 10$m, $w = 5$m, $h = 8$m. So $V_1=10\times5\times8 = 400$ $m^3$.

Step2: Calculate volume of small cuboid

For the small cuboid, $l = 6$m, $w = 2$m, $h = 4$m. So $V_2 = 6\times2\times4=48$ $m^3$.

Step3: Calculate volume of the figure

The volume of the figure is the volume of the large cuboid minus the volume of the small - cuboid. $V = V_1 - V_2=400 - 48=352$ $m^3$.

Answer:

352