Respuesta :

The surface area of the rectangular prism is 38 square units

The dimensions of the rectangular prism is given as:

[tex]Length = 3[/tex]

[tex]Width = 4[/tex]

[tex]Height = 1[/tex]

The surface area of the rectangular is then calculated using the following surface area formula

[tex]Area = 2 \times (Length \times Width + Length \times Height+ Width \times Height)[/tex]

Substitute the known values of Length, Width and Height

[tex]Area = 2 \times (3 \times 4 + 3\times 1+ 4\times 1)[/tex]

Evaluate all products

[tex]Area = 2 \times (12 + 3+ 4)[/tex]

Evaluate all sums

[tex]Area = 2 \times (19)[/tex]

Remove bracket

[tex]Area = 2 \times 19[/tex]

[tex]Area = 38[/tex]

Hence, the surface area of the rectangular prism is 38 square units

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