Question

what is the volume of this figure? work it out not feeling ready yet? these c

Explanation:

Step1: Divide figure into 3 rectangular - prisms

We can divide the given figure into three rectangular - prisms for easier volume calculation.

Step2: Calculate volume of first prism

The first prism at the bottom has dimensions \(12\ cm\times9\ cm\times2\ cm\). Using the volume formula \(V = l\times w\times h\), its volume \(V_1=12\times9\times2 = 216\ cm^3\).

Step3: Calculate volume of second prism

The middle prism has dimensions \(8\ cm\times5\ cm\times(4 + 2)\ cm=8\times5\times6 = 240\ cm^3\).

Step4: Calculate volume of third prism

The top - most prism has dimensions \(6\ cm\times6\ cm\times2\ cm\), and its volume \(V_3=6\times6\times2=72\ cm^3\).

Step5: Calculate total volume

The total volume \(V = V_1+V_2+V_3=216 + 240+72=528\ cm^3\).

Answer:

528