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The question is missing the figure which is attached below.
Answer:
1620 cm³
Step-by-step explanation:
Given:
The two prisms are similar.
Volume of the smaller prism (V₁) = 60 cm³
Length of the smaller prism (l₁) = 5 cm
Length of the larger prism (l₂) = 15 cm
Now, we know that, for similar figures, the dimensions of the figure are in proportion to each other. Therefore,
This means that, the smaller figure is dilated by a scale factor of 3.
Hence,
Volume of smaller prism is given as:
Volume of larger prism is given as;
Therefore, the volume of the larger rectangular prism is 1620 cm³.
