Find the volume and surface area of the composite figure shown below if the figure is built with unit cubes.
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Answer:
the volume is 18 and the surface area is 46
Step-by-step explanation:
The volume of the cube will be and the surface area of the cube will be square units.
Volume is defined as the space covered by any solid body in the three-dimensional plane. The volume of the cube will be calculated by multiplying all three sides of the cube.
The volume will be calculated as below:-
The formula to calculate the volume = l x w x h
The volume of the first part = 2 x 2 x 3 = 12 cubic units
The volume of the Second part = 2 x 2 x 1 = 4 cubic units
The volume of the third part = 2 x 1 x 1 = 2
Total volume of the cube = 12 + 4 + 2 = 18 cubic units.
The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
The surface area will be calculated as below:-
Surface area of the base = 2 ( 4 x 2) + 2( 2x 1) + 2 ( 4x 1) = 28
Surface area of the middle = 2 ( 3 x 2 ) + 2 ( 2 x 1 ) + 2 ( 3 x 1) = 22
Surface area of the upper side = 2 ( 2 x 2) +2 ( 1 x 2 ) + 2 ( 1 x 2) = 16
The total surface area is calculated as below:-
Total = 28 + 22 + 16 = 66 square units.
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