Question

Question 28 of 30Calculate the surface area in square feet of a box that measures 13 inches inlength, 11 inches in width, and 11 inches in height. The value of your answershould be square feet. Round you answer to the nearest hundredth and donot include units in your answer.

Answer 1

ANSWER:

5.65 ft²

STEP-BY-STEP EXPLANATION:

We have the following measures:

Length (l) = 13 inches

Width (w) = 11 inches

Height (h) = 11 inches

We can determine the surface area as follows:

$\begin{gathered} A=2\cdot l\cdot w+2\cdot l\cdot h+2\cdot w\cdot h \\ \\ \text{ We replacing:} \\ \\ A=2(13)(11)+2(13)(11)+2(11)(11) \\ \\ A=286+286+242 \\ \\ A=814\text{ in}^2 \\ \\ \text{ Convert inches to feet, knowing that 1 foot is equal to 12 inches} \\ \\ A=814\text{ in}^2\cdot\frac{(1\text{ ft\rparen}^2}{(12\text{ in\rparen}^2} \\ \\ A=5.65\text{ ft}^2 \end{gathered}$

Therefore, the correct answer is 5.65 ft²