1.

Quantity B: The volume of a cube is 1728 cm3. The total length of its edges is1). Quantity A > Quantity B2). Quantity A < Quantity B3). Quantity A ≥ Quantity B4). Quantity A ≤ Quantity B

Answer»

First we will find QUANTITY A,

Quantity A:

Let the SIDE of the cube be ‘a’.

We know that,

Perimeter of ONE face of a cube = 4a

⇒ 24 = 4a

⇒ a = 24/4 = 6 cm

We know that,

Volume of the cube = a3 = 63 = 216 cm3

∴ Volume of the cube = 216 cm3

Now,

Quantity B:

Let the side of the cube be ‘a’.

We know that ,

Volume of the cube = a3

⇒ 1728 = a3

⇒ a = 17281/3 = 12

We know that,

A cube consists of 12 EDGES.

∴ The total length of the edges of the cube = 12 × 12 = 144 cm

∴ Quantity A > Quantity B


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