Question

what is the volume of this figure? 5 cm 2 cm 2 cm 11 cm 4 cm 6 cm cubic centimeters

Explanation:

Step1: Calculate volume of large cuboid

The formula for the volume of a cuboid is $V = l\times w\times h$. For the large cuboid with length $l = 6$ cm, width $w = 4$ cm and height $h=11$ cm, its volume $V_1=6\times4\times11 = 264$ $cm^3$.

Step2: Calculate volume of small cuboid

The small cuboid has length $l = 2$ cm, width $w = 2$ cm and height $h = 5$ cm. Its volume $V_2=2\times2\times5= 20$ $cm^3$.

Step3: Calculate volume of the figure

The volume of the given figure is the volume of the large cuboid minus the volume of the small - cuboid. So $V = V_1 - V_2=264 - 20=244$ $cm^3$.

Answer:

244