Four identical cubes are joined to make a new shape. What is the new shape’s surface area?
252 yd²
504 yd²
588 yd²
882 yd²
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Four identical cubes are joined to make a new shape. What is the new shape’s surface area?
252 yd²
504 yd²
588 yd²
882 yd²
To find the surface area of the new shape formed by four identical cubes, we start by determining the surface area of one cube. The formula for the surface area of a cube is:
[ SA = 6s^2 ]
where ( s ) is the side length of the cube.
When cubes are joined, some of their faces will be hidden, which reduces the overall surface area compared to the sum of the individual cubes’ surface areas. However, without the side length provided or a specific configuration of how the cubes are joined, we can’t calculate the exact total surface area.
Assuming the cubes are joined in a straightforward manner (like in a 2×2 square), you can visualize the configuration, but without specific dimensions, we can’t choose from the provided options accurately.
For instance, if each cube has a side length of ( s ), the total surface area would depend on their arrangement:
1. If cubes are joined in a straight line, some faces between the pairs would not contribute to the surface area.
2. If cubes are stacked or arranged differently, this will also affect the total surface area.
Please provide a specific configuration or the side length if you have one to get a precise answer, but a common configuration would reduce the total by around 2s² for two joined cubes.
So if you have ( s ), calculate based on your arrangement and then check against the options. Remember to engage with the extended services page for more in-depth help if