Question

what is the volume of this figure? 11 cm 4 cm 8 cm 2 cm 3 cm 8 cm cubic centimeters

Explanation:

Step1: Calculate volume of large rectangular - prism

The formula for the volume of a rectangular - prism is $V = l\times w\times h$. For the large rectangular - prism with length $l = 11$ cm, width $w = 4$ cm, and height $h = 8$ cm, the volume $V_1$ is $V_1=11\times4\times8 = 352$ $cm^3$.

Step2: Calculate volume of small rectangular - prism

For the small rectangular - prism with length $l = 8$ cm, width $w = 2$ cm, and height $h = 3$ cm, the volume $V_2$ is $V_2 = 8\times2\times3=48$ $cm^3$.

Step3: Calculate total volume of the figure

The total volume $V$ of the figure is the sum of the volumes of the two rectangular - prisms, so $V=V_1 + V_2=352+48 = 400$ $cm^3$.

Answer:

400