Question

What is a the volume of a salt crystal measuring 3.22 x 10^-2 cm by 1.5 x 10^-4 cm by 4.30 x 10^-3 cm?

A. 2.1 x 10^-8 cm3
B. 21 x 10^-9 cm3
C. 2.1 x 10^-24 cm3
D. 21 x 10^-6 cm3

Answer 1

Dimension of the salt crystal is:

Length = 3.22 x 10^-2 cm

Breadth = 1.5 x 10^-4 cm

Height = 4.30 x 10^-3 cm

So it is cuboidal in shape.

Volume = L × B × H


`V = 3.22 * {10}^( - 2) * 1.5 * {10}^( - 4) * 4.30 * {10}^( - 3) \\ \\ V = 3.22 * 1.5 * 4.30 * {10}^( (- 2 - 3 - 4)) \\ \\ V = 20.769* {10}^( - 9) \\ \\ V = 2.0769 * {10}^( - 8) \\ \\ V \approx 2.1 * {10}^( - 8) \: {cm}^(3) \\ \\ \boxed{ \red{ \bold{answer: a}}}`