The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity is called volume. The volume of the given figure is 233 in³.
What is Volume?
The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity is called volume.
The given figure can be divided into two parts. The first figure 'A' is a cuboid, while the second figure 'B' is a cube. As shown below.
Now, the volume of the figure can be calculated by adding the volume of the cuboid A and the volume of the cube B.
The volume of Cuboid A can be written as,
[tex]\rm \text{Volume of cuboid} = Length \times Breadth \times Height[/tex]
[tex]= 12 \times 3 \times 3\\\\= 108\rm\ in^3[/tex]
The volume of Cube B can be written as,
[tex]\rm \text{Volume of Cube} = (Side)^3[/tex]
[tex]= 5^3\\\\= 125\rm\ in^3[/tex]
Further, the volume of the figure can be written as,
The volume of the figure = Volume of the cuboid + Volume of the Cube
= 108 + 125 = 233 in³
Hence, the volume of the given figure is 233 in³.
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