The stairway shown is made out of solid concrete. The height of each step is four inches and the width is 10 inches. The length is 6 inches. What is the volume, in cubic inches, of the concrete used to create this stairway?

Accepted Solution

Answer:The volume of the stairway is 720 cubic inchesStep-by-step explanation:we know thatThe volume of the stairway is equal to the volume of two rectangular prismThe volume of the rectangular prism is equal to[tex]V=LWH[/tex]Find the volume of the larger rectangular prismwe have[tex]L=6\ in[/tex][tex]W=10\ in[/tex][tex]H=4+4=8\ in[/tex]substitute[tex]V=(6)(10)(8)=480\ in^{3}[/tex]Find the volume of the smaller rectangular prismwe have[tex]L=6\ in[/tex][tex]W=10\ in[/tex][tex]H=4\ in[/tex]substitute[tex]V=(6)(10)(4)=240\ in^{3}[/tex]Find the volume of the stairwayAdds the two volumes[tex]V=480+240=720\ in^{3}[/tex]