Question

what is the volume of this figure? 3 cm 10 cm 9 cm 11 cm 2 cm cubic centimeters

Explanation:

Step1: Divide the figure into two rectangular - prisms

We can divide the given figure into two rectangular - prisms. One with dimensions \(10\times3\times9\) and the other with dimensions \(11\times(10)\times2\).

Step2: Calculate the volume of the first rectangular - prism

The volume formula for a rectangular - prism is \(V = l\times w\times h\). For the first prism with \(l = 10\) cm, \(w = 3\) cm and \(h = 9\) cm, \(V_1=10\times3\times9 = 270\) \(cm^3\).

Step3: Calculate the volume of the second rectangular - prism

For the second prism with \(l = 11\) cm, \(w = 10\) cm and \(h = 2\) cm, \(V_2=11\times10\times2=220\) \(cm^3\).

Step4: Calculate the total volume

The total volume \(V = V_1 + V_2\). So \(V=270 + 220=490\) \(cm^3\).

Answer:

490