Four identical cubes are joined to make a new shape. Answer the questions to find the new shape’s 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.
To find the surface area of the new shape formed by joining four identical cubes, let’s follow these steps:
1. Determine the number of squares: A single cube has 6 faces, and normally, 4 cubes would have (4 times 6 = 24) faces. However, when joined, some faces are hidden. For 4 cubes, depending on how they’re arranged, they will share some faces. Assuming a simple arrangement (like a 2×2 layout), the exposed faces would be fewer. Let’s say there are 14 exposed squares.
2. Area of each square: If we assume each cube has a side length of 1 inch, then the area of each square face of the cube is (1 text{ in} times 1 text{ in} = 1 text{ in}²).
3. Calculate the surface area: Since we have identified there are 14 exposed squares, the total surface area is (14 text{ in}²).
To summarize:
– There are 14 squares on the surface of the figure.
– Each square has an area of 1 in.².
– So, the surface area of the figure is 14 in.².
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