Answer:
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
