Question

what is the volume of this figure? 4 ft. 4 ft. 8 ft. 3 ft. 10 ft. cubic feet submit work it out not feeling ready yet? these can help

Explanation:

Step1: Divide the figure into two rectangular - prisms

We can divide the L - shaped figure into two rectangular prisms. One prism has dimensions \(4\times4\times8\) and the other has dimensions \((10 - 4)\times4\times3\).

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 \(l = 4\) ft, \(w = 4\) ft and \(h = 8\) ft, \(V_1=4\times4\times8=128\) cubic feet.

Step3: Calculate the volume of the second prism

The second prism has \(l=(10 - 4)=6\) ft, \(w = 4\) ft and \(h = 3\) ft. Using the volume formula \(V = l\times w\times h\), we get \(V_2=6\times4\times3 = 72\) cubic feet.

Step4: Calculate the total volume

The total volume \(V\) of the figure is the sum of the volumes of the two prisms, \(V=V_1 + V_2=128+72 = 200\) cubic feet.

Answer:

200