Question

surface area of simple composite solids - item 33916
four identical cubes are joined to make a new shape.
answer the questions to find the new shapes surface area.
there are squares on the surface of the figure.
each square has an area of in.²
so, the surface area of the figure is in.²

Explanation:

Step1: Count the number of squares on the surface

By observing the figure, we can count that there are \( 22 \) squares on the surface.

Step2: Calculate the area of each square

The side - length of each square is \( 6\) in. Using the formula for the area of a square \(A = s^{2}\) (where \(s\) is the side - length), we have \(A=6\times6 = 36\) in.\(^{2}\).

Step3: Calculate the surface area of the figure

The surface area \(S\) of the figure is the number of squares times the area of each square. So \(S=22\times36\).

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Answer:

There are \(22\) squares on the surface of the figure.
Each square has an area of \(36\) in.\(^{2}\).
So, the surface area of the figure is \(792\) in.\(^{2}\).