The amount of paint needed to cover all parts of the table will be 3703 square inches. Then the correct option is B.
What is Geometry?
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The top of the table can be modeled with a cylinder, and the legs can be modeled with rectangular prisms.
The table is shown below.
The surface area of the cylinder will be
SA of cylinder = 2πr² + 2πrh
SA of cylinder = 2π (18² + 18 × 3)
SA of cylinder = 2375 square inches
Then the surface area of the prism will be
SA of prism = 4 [WL + 2(WH + LH)]
SA of prism = 4 [2 x 6 + 2 (2 x 20 + 6 x 20)]
SA of prism = 4 [12 + 2 x 160]
SA of prism = 4 [12 + 320]
SA of prism = 1328 square inches
Then the total surface area of the table will be
Total surface area = SA of prism + SA of cylinder
Total surface area = 1328 + 2375
Total surface area = 3703 square inches
Thus, the amount of paint needed to cover all parts of the table will be 3703 square inches.
Then the correct option is B.
More about the geometry link is given below.
https://brainly.com/question/7558603
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