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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 it takes up.
how much an object can hold.
question 2
1 pts
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
1 pts
which object has the greater density? a piece of wood with a mass of 15 grams and a volume of 10 cubic cm or a rock with a mass of 20 grams and a volume of 15 cubic cm.
wood
rock

Explanation:

Response
Question 1
Brief Explanations

Mass is defined as the amount of matter in an object. The amount of space an object takes up is volume, the relationship between mass and volume is density, and how much an object can hold is capacity.

Step1: Recall volume formula

The volume formula for a rectangular - prism (since the given shape is not a cube but a rectangular - prism) is $V = l\times w\times h$.

Step2: Substitute values

Given $l = 5$ cm, $h = 10$ cm, $w = 15$ cm, then $V=5\times15\times10$.

Step3: Calculate

$V = 750$ cubic cm. But there seems to be a mistake in the options provided as the correct answer is not among them. If we assume it was a calculation error in the options and we recalculate $V=5\times10\times15 = 750$ cubic cm.

Step1: Recall density formula

The density formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass and $V$ is volume.

Step2: Calculate density of wood

For wood, $m = 15$ g and $V = 10$ $cm^{3}$, so $
ho_{wood}=\frac{15}{10}=1.5$ g/$cm^{3}$.

Step3: Calculate density of rock

For rock, $m = 20$ g and $V = 15$ $cm^{3}$, so $
ho_{rock}=\frac{20}{15}=\frac{4}{3}\approx1.33$ g/$cm^{3}$.

Step4: Compare densities

Since $1.5>1.33$, wood has a greater density.

Answer:

The amount of matter in an object

Question 2