Question

what is the volume of this figure? cubic yards

Explanation:

Step1: Divide the figure into two rectangular - prisms

We can consider the figure as composed of two rectangular - prisms. One with dimensions \(11\times3\times4\) and the other with dimensions \(14\times3\times3\).

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 \(l = 11\), \(w = 3\), and \(h = 4\), we have \(V_1=11\times3\times4 = 132\) cubic yards.

Step3: Calculate the volume of the second rectangular - prism

For the second prism with \(l = 14\), \(w = 3\), and \(h = 3\), we have \(V_2=14\times3\times3=126\) cubic yards.

Step4: Calculate the total volume

The total volume \(V\) of the figure is the sum of the volumes of the two prisms, \(V = V_1+V_2\). So \(V=132 + 126=258\) cubic yards.

Answer:

258