Respuesta :
The total surface area of a rectangular prism can be calculated using the formula shown below:
[tex]TSA=2lw+2lh+2hw[/tex]Where "l" is the length, "w" is the width and "h" is the height of the rectangular prism.
In this case you know that:
[tex]\begin{gathered} l=1.5ft \\ w=6in \\ h=10in \end{gathered}[/tex]As you can notice, you need to make the conversion of the length from feet to inches. Remember that:
[tex]1ft=12in[/tex]Therefore:
[tex](1.5ft)(\frac{12in}{1ft})=18in[/tex]Then, the length in inches is:
[tex]l=18in[/tex]Now you can substitute values into the formula and then evaluate, in order to find the total surface area of the rectangular prism:
[tex]\begin{gathered} TSA=2lw+2lh+2hw \\ TSA=(2)(18in)(6in)+(2)(18in)(10in)+(2)(10in)(6in) \\ TSA=216in^2+360in^2+120in^2 \\ TSA=696in^2 \end{gathered}[/tex]The answer is:
[tex]TSA=696in^2[/tex]