Question

Find the surface area of a box that has the following dimensions: 6ft x 12ft x 10ft. Use the space below to draw a diagram if necessary

Answer 1

Solution

Step 1

Draw the box

Step 2

Write an expression for the area of the box

$S\mathrm{}A\text{ = 2}lw\text{ + 2lh + 2}hw$

Where

l = 12ft = length

w = 10ft = width

h = 6ft = height

Step 3

Find the surface area of the cuboid

$\begin{gathered} S\mathrm{}A\text{ = 2(12)(10) + 2(}12)(6)\text{ + 2 }(6)(10) \\ S\mathrm{}A\text{ = 240 + 144 + 120 =504}ft^2 \end{gathered}$