Answer :
Answer: [tex]176units^3[/tex]
Step-by-step explanation:
We have a composite figure. Find the volume of each figure individually and then add them.
Cube.
[tex]V=a^3\\V=(4units)^3\\V=64units^3[/tex]
Rectangular prism.
[tex]V=w*h*l\\V=(4units)(4units)(7units)\\V=112units^3[/tex]
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[tex]112units^3+64units^3=176units^3[/tex]
The volume of the figure is 176 cubic units.
What is the volume of the cube?
The volume of a cube is given by;
[tex]\rm Volume \ of \ cube =a^3\\\\[/tex]
The volume of the figure above if a = 4 units and b = 7 units.
The volume of a cube is;
[tex]\rm Volume \ of \ cube =a^3\\\\ \rm Volume \ of \ cube =4^3\\\\ \rm Volume \ of \ cube =64[/tex]
The volume of a rectangular prism is;
[tex]\rm Volume \ of \ prism =Length \times width \times height \\\\Volume \ of \ prism =4\times 4\times 7\\\\Volume \ of \ prism= 112[/tex]
The volume of the figure = Volume of cube + Volume of a rectangular prism
The volume of the figure = 64 + 112
The volume of the figure = 176
Hence, the volume of the figure is 176 cubic units.
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