Question

How much does 8.20 X 10-3dm3 (1dm3 = 1L) sample of aluminum weigh in grams?
centimeters?

Answer 1

8.20 grams ; 8.20 cm³

Explanation:

At first convert it to m³ from dm³

we know,

1 dm³ =10⁻³ m³

∴ 8.20 X 10⁻³dm3 = 8.20 X 10⁻³ x 10⁻³ m³

=8.20 X 10⁻⁶ m³

m³ to gram :

1 m³ = 10⁶ grams

∴ 8.20 X 10⁻⁶ m³ = (8.20 X 10⁻⁶x10⁶) grams

= 8.20 grams

m³ to cm³ :

1m³ = 10⁶ cm³

∴8.20 X 10⁻⁶ m³ = (8.20 X 10⁻⁶ x 10⁶) cm³

=8.20 cm³

Note:

1 cm³ = 1 gram