498,148 views
16 votes
16 votes
The volume of a cube is 64cm³. what is the total surface area.​

User Beld Pro
by
3.3k points

2 Answers

9 votes
9 votes

Answer:
96cm^2\\

Explanation:

64=
x^3\\


\sqrt[3]{64} =4

So a side is 4, and surface area of one side is 4x4 =
16cm^2

cude has 6 faces, 16*6 =
96cm^2\\

User Gor Asatryan
by
3.2k points
15 votes
15 votes

Answer:

96 cm²

Explanation:

If the side of a cube is a, then volume = a³

There are six surfaces for a cube and each surface has an area of a²
So total surface area = 6a²

Since we are given volume = 64 cm³, each side must be ∛64 = 4 cm

So total surface area = 6 x 4² = 6 x 16 = 96 cm²

User Rburmorrison
by
2.9k points
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