The density of ice is approximately 0.92 g/cm3 . If a block of ice has a volume of 2300 cm3, what is its mass?

a.2116 grams

b.2500 grams

c.0.0004 grams

The mass of the ice block is 2116 grams ⇒ a

Step-by-step explanation:

The formula of density is , where m is the mass and V is the volume

To find the mass from this formula multiply both sides by V,

then m = p.V

∵ The density of ice is approximately 0.92 g/cm³

∴ p = 0.92

- That means the mass of 1 cm³ is 0.92 g

∵ The volume of an ice block is 2300 cm³

∴ V = 2300

- Use the formula of the mass

∵ m = p.V

- Substitute the values of p and V in it

∴ m = (0.92)(2300)

∴ m = 2116 grams

The mass of the ice block is 2116 grams

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step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: