Question

11. What is the total surface are of a rectangular prism in square inches? Thedimensions are; height is 10 inches width is 6 inchesfeetlength is 1.5

Answer 1

The total surface area of a rectangular prism can be calculated using the formula shown below:

$TSA=2lw+2lh+2hw$

Where "l" is the length, "w" is the width and "h" is the height of the rectangular prism.

In this case you know that:

$\begin{gathered} l=1.5ft \\ w=6in \\ h=10in \end{gathered}$

As you can notice, you need to make the conversion of the length from feet to inches. Remember that:

$1ft=12in$

Therefore:

$(1.5ft)(\frac{12in}{1ft})=18in$

Then, the length in inches is:

$l=18in$

Now you can substitute values into the formula and then evaluate, in order to find the total surface area of the rectangular prism:

$\begin{gathered} TSA=2lw+2lh+2hw \\ TSA=(2)(18in)(6in)+(2)(18in)(10in)+(2)(10in)(6in) \\ TSA=216in^2+360in^2+120in^2 \\ TSA=696in^2 \end{gathered}$

The answer is:

$TSA=696in^2$