Question

what is the volume of this figure? cubic yards 6 yd. 4 yd. 11 yd. 12 yd. 3 yd.

Explanation:

Step1: Divide the figure into two rectangular - prisms

We can consider the figure as composed of two rectangular - prisms. One with dimensions \(12\times3\times4\) and another with dimensions \(12\times(11 - 4)\times3\).

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 \(l = 12\) yd, \(w = 3\) yd and \(h = 4\) yd, \(V_1=12\times3\times4=144\) cubic yards.

Step3: Calculate the volume of the second rectangular - prism

The second prism has \(l = 12\) yd, \(w = 3\) yd and \(h=(11 - 4)=7\) yd. So \(V_2 = 12\times3\times7=252\) cubic yards.

Step4: Calculate the total volume

The total volume \(V = V_1+V_2\). So \(V=144 + 252=396\) cubic yards.

Answer:

396