Four identical cubes are joined to make a new shape.
What is the new shape’s surface area?
450 ft²
600 ft²
300 ft²
2,250 ft²
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Four identical cubes are joined to make a new shape.
What is the new shape’s surface area?
450 ft²
600 ft²
300 ft²
2,250 ft²
To find the surface area of the new shape formed by joining four identical cubes, we first need to determine the dimensions of one cube.
Assuming each cube has a side length of ( s ), the surface area of one cube is ( 6s^2 ). When four cubes are joined together, certain faces are hidden, which reduces the overall surface area.
For example, if we arrange the cubes in a line (1×4), two faces will be hidden, resulting in fewer exposed faces. The formula to calculate the new surface area depends on how the cubes are arranged.
Without specific dimensions or an arrangement, let’s assume the most efficient arrangement, such as a 2×2 formation (which reveals 10 faces):
1. Surface area of 4 cubes alone = ( 4 times 6s^2 = 24s^2 )
2. Subtract the hidden faces = ( 24s^2 – 4s^2 = 20s^2 )
However, since we don’t have the side length ( s ), we can’t calculate a specific surface area.
But from the given options, if we assume ( s = 15ft ):
1. Surface area of 1 cube = ( 6 times 15^2 = 1350 ft² )
2. Total for 4 cubes = ( 4 times 1350 = 5400 ft² )
3. Based on typical