Question

What is the ratio of the Volume of a cube whose side is 5m, to a side of a cube whose volume is 1000000m3

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Answer 1

Answer:

$125 : 100 = \fbox {5 : 4}$

Given:

Side of First Cube = 5m

Volume of Second Cube = 1000000m³

Step-by-step explanation:

Let the first cube be → Cube₁

Let the second cube be → Cube₂

► To find the volume of Cube₁

→ Side of Cube₁ = 5m

• Volume of Cube = side³

⇒ 5³ = 125

∴ Volume of Cube₁ = 125m³

► To find the side of Cube₂

→ Volume of Cube₂ = 1000000m³

• Volume of Cube₂ = side³

⇒ side³ = 1000000

⇒ side = ∛1000000 ⇒ 100

∴ side of Cube₂ = 100m

► To find the ratio of Volume of Cube₁ to the side of Cube₂

As solved above, we have got that,

• Volume of Cube₁ = 125m₃
• side of Cube₂ = 100m

→ Ratio = 125 : 100

• Dividing 125 and 100, both by 25, we get 5 and 4, so,

∴ Ratio = 5 : 4