Could somebody help me solve this please

75 m³

Step-by-step explanation:

From the question given, we obtained the following data:

For figure A:

Base length (Bₐ) = 2 m

Volume (Vₐ) = 30 m³

For figure B:

Base length (B₆) = 5m

Volume (V₆) =?

Since both shapes are similar, the volume of figure B can be obtained as follow:

Bₐ/B₆ = Vₐ/V₆

2/5 = 30/V₆

Cross multiply

2 × V₆ = 5 × 30

2 × V₆ = 150

Divide both side by 2

V₆ = 150 / 2

V₆ = 75 m³

Therefore, the volume of figure B is 75 m³

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step-by-step explanation:

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!