Respuesta :

The surface area of the given solid will be 101.12 square units and the volume will be 72 cubic units.

What will be the volume?

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the Cuboid.

Total volume = Volume of pyramid + Volume of the cuboid

Total volume = [tex]\dfrac{1}{3} \times L\times W\times h\ \ \ + \ \ \ L\times W\times h[/tex]  

Total volume = [tex](\dfrac{1}{3} \times 3\times 3\times 6)+( 3\times 3\times 6)[/tex]

Total volume = 54    +    18

Total volume = 72 cubic units.

What is the surface area?

The space occupied by any two-dimensional figure in a plane is called the area.

Total surface area = SA of pyramid + SA of cuboid

Total surface area = w√(4h²+l²)  +  4 (Lx H)+(L xW)

Total surface area = 3√(4(3)²+3²)   + 4 (3x6) + ( 3x3)

Total surface area = 9√5+72+9

Total surface area = 101.12 square units.

Hence the surface area of the given solid will be 101.12 square units and the volume will be 72 cubic units.

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