Question

Calculate the surface area in square feet of a box that measures 13 inches inlength, 10 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 and write as a whole number

Answer 1

Given:

The dimensions of box are given as:

Length (l) of box (in inches) =

`l=13`

Width (w) of box (in inches) =

`w=10`

Height (h) of box (in inches) =

`h=11`

Required:

To find the surface area of the box.

Step-by-step explanation:

Let us first convert the dimensions of box into feet.

Length (l) of box (in ft) =

`l=1.08`

Width (w) of box (in ft) =

`w=0.83`

Height (h) of box (in ft) =

`h=0.92`

Thus, the surface area (A) of the box is,

`\begin{gathered} A=2lw+2lh+2wh \\ \Rightarrow A=(2*1.08*0.83)+(2*1.08*0.92)+(2*0.83*0.92) \\ \Rightarrow A=1.7928+1.9872+1.5272 \\ \Rightarrow A=5.3072 \\ \Rightarrow A=5.31 \end{gathered}`

Final Answer:

The surface area (A) of the box (in sq. ft.) is,

`A=5.31`