if each edge of a cube is doubled
how many times will it's surface area increase, By the way I know it's 3, But Prove how it's 3, It's not 4, Correct explanation =will mark u BRAINLIEST True, 20 points for this question
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>>If each edge of a cube is doubled.How ma
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If each edge of a cube is doubled.How many times will its surface area increase?How many times will its volume increase?
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Step 1: Find how many times will surface area increase.
Let, original edge of cube=a
Given that, edge is doubled.
Therefore, New Edge =2a
Surface area of original cube=6×(edge)
2
=6a
2
Surface area of new cube=6×(edge)
2
=6(2a)
2
=6×4a
2
=24a
2
⇒4×(6a
2
)
Therefore, new surface area will be 4 times the original surface area.
Step 2: Find how many times the volume increases.
Let, original edge of a cube=a
Given that, edge is doubled, new edge =2a
Volume of original cube = edge
3
=a
3
Volume of new cube = edge
3
=(2a)
3
=8a
3
=8×a
3
New volume will be 8 times original volume.
Hence, the new surface area is 4 times the