There are two cubes ‘A’ and ‘B’. The Length of diagonal of cub

1.	There are two cubes ‘A’ and ‘B’. The Length of diagonal of cube A is equal to the side of cube B. If the length of side of cube A is 4√3 cm, find the volume of cube B?1. 1000 2. 21973. 13314. 1728
Answer» Correct Answer - Option 4 : 1728 Given: Side of cube A = 4√3 cm Diagonal of cube A = Side of cube B Formula used: Diagonal of cube = √3a Volume of cube = a³ Calculation: Let, the side of cube A = a Side of cube B = b ∵ Diagonal of cube A = √3a ⇒ Diagonal of cube A = √3 × 4√3 = 12 cm ∵ Diagonal of cube A = Side of cube B ∴ Side of cube B = 12cm ⇒ Volume of Cube B = (12)³ = 1728 cm³

There are two cubes ‘A’ and ‘B’. The Length of diagonal of cube A is equal to the side of cube B. If the length of side of cube A is 4√3 cm, find the volume of cube B?1. 1000 2. 21973. 13314. 1728

Answer» Correct Answer - Option 4 : 1728

Given:

Side of cube A = 4√3 cm

Diagonal of cube A = Side of cube B

Formula used:

Diagonal of cube = √3a

Volume of cube = a³

Calculation:

Let, the side of cube A = a

Side of cube B = b

∵ Diagonal of cube A = √3a

⇒ Diagonal of cube A = √3 × 4√3

= 12 cm

∵ Diagonal of cube A = Side of cube B

∴ Side of cube B = 12cm

⇒ Volume of Cube B = (12)³

= 1728 cm³

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There are two cubes ‘A’ and ‘B’. The Length of diagonal of cube A is equal to the side of cube B. If the length of side of cube A is 4√3 cm, find the volume of cube B?1. 1000 2. 21973. 13314. 1728

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