Arectangular prism is 3 units high 2 units wide and 5 units long what is its surface area in square units

A rectangular prism is a three-dimensional shape with six faces. The opposite faces are equal in length. It has twelve sides and six vertices

The formula for the surface area of a rectangular prism = SA=2lw+2lh+2hw

Where:

l = length

w = width

h  = height

Surface area = (2 x 5 x 2) + (2 x 5 x 3) + (2 x 3 x 2)

= 20 + 30 + 12

= 62 square units

Please find attached an image of a rectangular prism. A similar question was solved here: link

62 square units

Step-by-step explanation:

The area of a rectangular prism is the sum of the areas of its six faces. Opposite faces have the same area, so it is the sum of 3 pairs of faces. The area of one face of each pair is the product of the dimensions of that face. Those three areas are ...

• L·W

• W·H

• H·L

so the total surface area is ...

A = 2(LW +WH +HL)

For hand calculation, this can be simplified a bit to ...

A = 2(LW +H(L+W)) . . . . . requires one less multiplication

For your prism, the area is ...

A = 2(5·2 + 3(5+2)) = 2(10 +21) = 62 . . . square units

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