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define mass. the amount of matter in an object. the amount of space an …

Question

define mass.
the amount of matter in an object.
the amount of space an object takes up.
the relationship between the amount of material an object has and the amount of space
how much an object can hold.
question 2
calculate the volume of a cube with the following measurements.
length = 5 cm
height = 10 cm
width = 16 cm
50 cubic cm
400 cubic cm
31 cubic cm
800 cubic cm
question 3
which object has the greater density? a piece of wood with a mass of 15 grams and a volume of 20 grams and a volume of 15 cubic cm.
wood
rock

Explanation:

Step1: Recall mass definition

Mass is the amount of matter in an object.

Step2: Recall volume formula for rectangular - prism (since given dimensions are not of a cube)

The volume formula for a rectangular - prism is $V = l\times w\times h$, where $l$ is length, $w$ is width and $h$ is height.
Given $l = 5$ cm, $w = 16$ cm and $h = 10$ cm. Then $V=5\times16\times10 = 800$ $cm^{3}$.

Step3: Recall density formula

The density formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass and $V$ is volume.
For wood, $m_{wood}=15$ g and assume $V_{wood}$ is some value. For rock, $m_{rock} = 20$ g and $V_{rock}=15$ $cm^{3}$. Then $
ho_{rock}=\frac{20}{15}=\frac{4}{3}\approx1.33$ g/$cm^{3}$. If we assume for wood $
ho_{wood}=\frac{15}{V_{wood}}$, without knowing $V_{wood}$ exactly, but if we assume a reasonable value, we can compare. However, if we assume the comparison is based on the given numbers directly, the density of rock is $\frac{20}{15}=\frac{4}{3}$ g/$cm^{3}$ and we need to compare with wood's density. But if we just go by the options given in the problem - context, we calculate as above.

Answer:

Question 1: The amount of matter in an object.
Question 2: 800 cubic cm
Question 3: rock