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Richard wants to paint the top and sides of the block column. What is the surface area he needs to cover?

Richard Wants To Paint The Top And Sides Of The Block Column What Is The Surface Area He Needs To Cover class=

Sagot :

The Surface area to be painted = 512 ft²

What is the Surface Area of a Rectangular Prism?

The surface area of a rectangular prism = 2(w × l + h× l + h × w). Where:

w = width of the rectangular prism

h = height of the rectangular prism

l = length of the rectangular prism

The block column has a shape of rectangular prism. Therefore, the surface area that Richard needs to paint which excludes the bottom of the block = 2(w × l + h× l + h × w) - l × w.

  • l = 10 ft
  • h = 12 ft
  • w = 8 ft

Plug in the values

Surface area to be painted = 2(8 × 10 + 12 × 10 + 12 × 8) - 10 × 8

Surface area to be painted = 592 - 80

Surface area to be painted = 512 ft²

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