Respuesta :
Answer:
W = 2695.14 lb
Explanation:
given,
side of cube = 3 ft
density of the cube = 3.1 slugs/ft³
we know,
[tex]density = \dfrac{mass}{volume}[/tex]
mass = density x volume
volume = 3³ = 27 ft³
mass = 3.1 x 27
m = 83.7 slugs.
weight calculation
converting mass from slug to pound
weight of 1 slug is equal to 32.2 lb
now,
weight of the cube is equal to
W = 83.7 slugs x 32.2 lb/slug
W = 2695.14 lb
hence, weight is equal to W = 2695.14 lb
The mass of the cube is 1221.48kg
To solve this problem, we need to use the formula that relates mass, volume and density together. But before that, let's write down our given data.
Data;
- l = 3.0ft
- ρ = 3.1 slugs/ft^3
- mass = ?
Density
This is the ratio of mass to volume of a substance.
ρ = m/v
Volume
The volume of a cube is given as
[tex]v = l^3\\v = 3^3 = 27ft^3[/tex]
But to proceed, we should convert the unit of the density into the standard unit as kg/ft^3
[tex]1kg/ft^3=0.06852slugs/ft^3\\xkg/ft^3=3.1slugs/ft^3\\x=3.1/0.06852\\x=45.24kg/ft^3[/tex]
Now that we have the value of density as 45.25kg/ft^3
let's plug our values into the density equation
[tex]p = m/v\\m = p*v\\m = 45.24*27\\m =1221.48kg[/tex]
From the calculations above, the cube have a mass of 1221.48kg
Learn more on density, mass and volume here;
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