Find the volume of a cube if it is known that the area of its face is 1 dm².

a – cube edge
S rib = 1 dm ^ 2
V = width * height * length
Since we have a cube in front of us, then both the width, and the height, and the length will be equal to a
S = a ^ 2
a = √S = √ (1 dm ^ 2) = 1 dm
V cube = a * a * a = 1dm * 1dm * 1dm = 1dm ^ 3
Answer: 1 dm ^ 3



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