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As the two prisms are similar there are ratios between them.

The ratio of the lengths is 4 : 12 = 1 : 3

The ratio of volumes is the cubs of the ratio of lengths.

→ The volumes are in the ratio of 1³ : 3² = 1 : 27

As the a smaller prism has a volume of 24 cm³, the larger prism has a volume 27 times larger

→ volume larger prism = 27 × 24 cm³ = 648 cm³

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8y ago

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