Question

How much sheet-metal does it take to construct a box that is 2 inches times 3 inches times 6 inches

Answer 1

72 square inches

0.5 square feet

Explanation:

We can calculate the necessary material to calculate the surface area of the box, like this:

`A=2\cdot(l\cdot h+l\cdot w+h\cdot w)`

l = 6

w = 3

h = 2

replacing:

`\begin{gathered} A=2\cdot(6\cdot2+6\cdot3+2\cdot3) \\ A=2\cdot(12+18+6) \\ A=2\cdot36 \\ A=72in^2 \end{gathered}`

72 square inches of sheet-metal required

We can calculate the value in square feet, we must know the factor between both units.

1 square foot equals 144 square inches. Therefore:

`\begin{gathered} A=72in^2\cdot(1ft^2)/(144in^2) \\ A=0.5ft^2 \end{gathered}`

0.5 square feet of sheet-metal required