Question

what is the volume of this figure? 875 cubic feet 1,000 cubic feet 1,125 cubic feet 750 cubic feet

Explanation:

Step1: Divide the figure into two rectangular - prisms.

The first prism has dimensions \(15\times5\times10\) and the second has dimensions \(5\times5\times10\).

Step2: Calculate the volume of the first prism.

The volume formula for a rectangular - prism is \(V = l\times w\times h\). For the first prism with \(l = 15\), \(w = 5\), and \(h = 10\), we have \(V_1=15\times5\times10 = 750\) cubic feet.

Step3: Calculate the volume of the second prism.

For the second prism with \(l = 5\), \(w = 5\), and \(h = 10\), we have \(V_2 = 5\times5\times10=250\) cubic feet.

Step4: Find the total volume.

The total volume \(V = V_1 + V_2\), so \(V=750 + 250=1000\) cubic feet.

Answer:

1,000 cubic feet