Answer to Question #294160 in Chemistry for Odalys

Question

a solid 6.45 - cm square cube is made with a material that has a density of 1.13 g•cm^-3 . Calculate the centigram mass of this cube. Recall that the volume of a cubic shape is defined as the product of length x width x height

Answer 1

Solution:

ρ = 1.13 g cm^-3

s = 6.45 cm

Calculate the volume of cube:

V = s³ = (6.45 cm)³ = 268.336 cm³

Calculate the mass of cube:

m = ρ × V

m = (1.13 g cm^-3) × (268.336 cm³) = 303.22 g

Convert grams (g) to centigrams (cg):

1 g = 100 cg

Hence,

m = (303.22 g) × (100 cg / 1 g) = 30322 cg

m = 30322 cg

Answer: 30322 cg