If the surface area of a cube is 486 cm sq, find its volume?
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Answered by
400
Surface area of a cube= 6 (side)²
⇒6 × s²=486 cm²
⇒s²=81 cm²
⇒s= 9 cm
Volume of a cube= (side)³
= (9 cm)³
=729 cm³
⇒6 × s²=486 cm²
⇒s²=81 cm²
⇒s= 9 cm
Volume of a cube= (side)³
= (9 cm)³
=729 cm³
Answered by
164
Let the Total Surface Area be x cm
According to Question,
Total surface area = 486 cm²
⇒ 6 × x² = 486
⇒ 6x² = 486
⇒ x² = 486 / 6
⇒ x² = 81
⇒ x = √81
⇒ x = 9
Hence, the side is 9 cm.
∴ Volume of Cube = side³
= ( 9 )³ cm³
= ( 9 × 9 × 9 ) cm³
= 729 cm³
Hence, the Volume of Cube is 729 cm³.
Hope it helps ツ
According to Question,
Total surface area = 486 cm²
⇒ 6 × x² = 486
⇒ 6x² = 486
⇒ x² = 486 / 6
⇒ x² = 81
⇒ x = √81
⇒ x = 9
Hence, the side is 9 cm.
∴ Volume of Cube = side³
= ( 9 )³ cm³
= ( 9 × 9 × 9 ) cm³
= 729 cm³
Hence, the Volume of Cube is 729 cm³.
Hope it helps ツ
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