Mathematics
08.12.2020 07:25
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Tabia stores her hair bands in a cube shaped container. the cube has a volume of

Tabia stores her hair bands in a cube shaped container. the cube has a volume of 64 cubic inches. what is the lenght of the edges of the cube?
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sammypaige08
sammypaige08
4,5(60 marks)

The length of the edge of the cube = 4 inches

Step-by-step explanation:

* Lets describe the cube

- It has 6 faces all of them are squares

- It has 8 vertices

- It has 12 equal edges

∵ The volume of any formal solid = area of the base × height

∵ The base of the cube is a square

∴ Area base = L × L = L² ⇒ L is the length of the edge of it

∵ All edges are equal in length

∴ Its height = L

∴ The volume of the cube = L² × L = L³

* Now we have the volume and we want to find the

 length of the edges

∵ Its volume = 64 inches³

∴ 64 = L³

* Take cube root to the both sides

∴ ∛64 = ∛(L³)

∴ L = 4 inches

* The length of the edge of the cube = 4 inches

Rflaig1129841
Rflaig1129841
4,9(93 marks)

24 times he could pick a White car

Step-by-step explanation:

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