Question

One cubic centimeters of Iron weight 7.8 gm.

a) Write the sequence of weight of Iron cubes of sides 1cm, 2cm, 3cm.

b) Is it an Arithmetic Sequence? Why? ​

Answer 1

Weight of one Iron Cube = 7.8 grams

Now,

Side of the Iron Cube = 1 cm

Volume of the Iron Cube = (1)³

= 1 cm³

Side of the Iron Cube = 2 cm

Volume of the Iron cube = (2)³

= 8 cm³

∵ 1 cm³ of Iron weighs 7.8 grams

∴ 8 cm³--------------------8 × 7.8 grams

= 62.4 grams.

Side of the Iron Cube = 3 cm

= (3)³

= 27 cm³

∵ 1 cm³ of Iron weighs 7.8 grams.

∴ 27 cm³-------------------27 × 7.8 grams

= 210 grams.

Thus, the Volume of the Cube are ⇒ 1,2,3........∞

∴ Weights of the Iron Cubes are ⇒ 7.2, 62.4, 210.6,....∞

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Answer 2

Step-by-step explanation:

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