how much % is the increased in volume?

Geometry Level 2

If each of the edge of the rectangular parallelepiped is increased by 50%, how much % is the increased in volume?

375.25% 237.5% 150% 50%

A Former Brilliant Member by A Former Brilliant Member

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1 solution

The volume of the original rectangular parallelepiped is 8 × 12 × 16 = 1536 8\times 12 \times 16 = 1536 .

The volume of the new rectangular parallelepiped is 8 × 1.5 × 12 × 1.5 × 16 × 1.5 = 5184 8\times 1.5 \times 12 \times 1.5 \times 16 \times 1.5 = 5184

The % increased in volume is

5184 − 1536 1536 × % = 237.5 % \dfrac{5184-1536}{1536} \times \% = \boxed{237.5 \%}

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