Question

a storage bin in the corner of joes room has the dimensions shown below. what is the volume of the bin? 44 cubic feet 28 cubic feet 36 cubic feet 60 cubic feet

Explanation:

Step1: Divide the shape into two rectangular - prisms

The bin can be divided into two rectangular - prisms.

Step2: Calculate the volume of the first rectangular - prism

The first rectangular - prism has dimensions \(2\times2\times5\). Using the volume formula \(V = l\times w\times h\), we get \(V_1=2\times2\times5 = 20\) cubic feet.

Step3: Calculate the volume of the second rectangular - prism

The second rectangular - prism has dimensions \(2\times4\times2\). Using the volume formula \(V = l\times w\times h\), we get \(V_2=2\times4\times2=16\) cubic feet.

Step4: Calculate the total volume of the bin

The total volume \(V = V_1 + V_2\). So \(V=20 + 16=36\) cubic feet.

Answer:

36 cubic feet