Three cubes whose edges measure 3 cm, 4 cm, and 5 cm respectively are

1.	Three cubes whose edges measure 3 cm, 4 cm, and 5 cm respectively are melted to form a new cube. Find the edge of the new cube. 1. 6 cm2. 8 cm3. 9.5 cm4. 8.3 cm
Answer» Correct Answer - Option 1 : 6 cm Given: First cube edge (a₁) = 3 cm Second cube edge (a₂) = 4 cm Third cube edge (a₃) = 5 cm Formula used: Volume of cube = a³ Calculations: Volume of three cubs = Volume of new cube ⇒ (a1)³ + (a2)³ + (a₃)³ = V ⇒ 3³ + 4³ + 53 = V ⇒ V = 216 cm³ ⇒ Edge = 6 cm ∴ The edge of new cube is 6 cm.

Three cubes whose edges measure 3 cm, 4 cm, and 5 cm respectively are melted to form a new cube. Find the edge of the new cube. 1. 6 cm2. 8 cm3. 9.5 cm4. 8.3 cm

Answer» Correct Answer - Option 1 : 6 cm

Given:

First cube edge (a₁) = 3 cm

Second cube edge (a₂) = 4 cm

Third cube edge (a₃) = 5 cm

Formula used:

Volume of cube = a³

Calculations:

Volume of three cubs = Volume of new cube

⇒ (a1)³ + (a2)³ + (a₃)³ = V

⇒ 3³ + 4³ + 53 = V

⇒ V = 216 cm³

⇒ Edge = 6 cm

∴ The edge of new cube is 6 cm.

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Three cubes whose edges measure 3 cm, 4 cm, and 5 cm respectively are melted to form a new cube. Find the edge of the new cube. 1. 6 cm2. 8 cm3. 9.5 cm4. 8.3 cm

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