Option C: [tex]220 \ cm^2[/tex] is the surface area of the rectangular prism
Explanation:
The height of the rectangular prism is 5 cm
The width of the rectangular prism is 10 cm
The depth of the rectangular prism is 4 cm
We need to determine the surface area of the rectangular prism.
The surface area of the rectangular prism can be determined using the formula,
[tex]A=2(w l+h l+h w)[/tex]
Substituting [tex]w=10[/tex] , [tex]h=5[/tex] and [tex]l=4[/tex] in the formula, we get,
[tex]A=2 \cdot(10 \cdot 4+5 \cdot 4+5 \cdot 10)[/tex]
Multiplying the terms within the bracket, we have,
[tex]A=2 \cdot(40 +20+5 0)[/tex]
Adding all the values within the bracket, we get,
[tex]A=2 \cdot(110)[/tex]
Multiplying, we have,
[tex]A=220[/tex]
Thus, the surface area of the rectangular prism is [tex]220 \ cm^2[/tex]
Hence, Option C is the correct answer.
