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?
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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?
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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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