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4 votes
4 votes
Find the length of one side of a solid cube given that its

volume is 8 cm cube


total surface area is 54 cm square.

User Evilhomer
by
3.0k points

1 Answer

13 votes
13 votes

Explanation:

I assume you mean as second question "what is the volume of a cube with the surface area of 54 cm² ?".

first question :

volume is 8 cm³

the volume of a cube is side³.

8 cm³ = side³

side = cubic root(8) = 2 cm

add-on : the surface of a cube (6 sides) is 6 times the area of side² squares.

surface = 6 × 2² = 6 × 4 = 24 cm²

second question :

54 cm² = 6 × side²

9 = side²

side = sqrt(9) = 3 cm

and the volume would be

side³ = 3³ = 27 cm³

User Tinychen
by
3.1k points