Question

open rectangular pattern.ipt
create a rectangular pattern from the existing hole.
array the hole in a 5 x 3 pattern. spacing is 1.
what is the surface area of the tiled surface?
##.### in²

Explanation:

Step1: Calculate the length and width of the tiled surface

Since it's a \(5\times3\) pattern with spacing \(1\), the length \(L=(5 - 1)\times1=4\) (because the number of intervals is one less than the number of elements in a row) and the width \(W=(3 - 1)\times1 = 2\).

Step2: Calculate the surface area of the top - like part

Assume the height (thickness) of the block is \(h = 1\). The surface area of the top - like part \(A_{1}=L\times W=4\times2 = 8\).

Step3: Calculate the surface area of the side parts

The two side areas: one pair of sides has area \(A_{2}=2\times(L\times h)=2\times(4\times1)=8\), and the other pair of sides has area \(A_{3}=2\times(W\times h)=2\times(2\times1)=4\).

Step4: Calculate the total surface area

The total surface area \(A=A_{1}+A_{2}+A_{3}=8 + 8+4=20.000\)

Answer:

\(20.000\)