Two cubes have integer sides. The sum of their volumes (cubic units) is numerically equal to the sum of their total length of edges. Sum of lengths of sides will be
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Answer:
The sum of the lengths of the cubes is 12y + 12x
Step-by-step explanation:
A cube has 12 edges.
Let the sides of the two cubes be x and y.
Volume of a cube = s³, where s is the side of the cube.
The sum of their volumes = x³ + y³
The total length of their edges = 12x + 12y
The sum of their volumes equal to the total length of their edges.
So, we have:
x³ + y³ = 12x + 12y
The sum of the lengths of the sides is equal to the sum of the total length of their edges.
This equals to = 12x + 12y
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