QuestionFind the density of a rectangular artifact with dimensions $2 \mathrm{~cm} \times 3 \mathrm{~cm} \times 4 \mathrm{~cm}$ and mass 36 grams.

Studdy Solution

STEP 1

Assumptions1. The artifact is a rectangular prism with dimensions $\mathrm{~cm}$ by $3 \mathrm{~cm}$ by $4 \mathrm{~cm}$ . . The mass of the artifact is36 grams.
3. The density is calculated as mass divided by volume.

STEP 2

First, we need to find the volume of the rectangular prism. We can do this by multiplying the length, width, and height.
$Volume = Length \\times Width \\times Height$

STEP 3

Now, plug in the given values for the length, width, and height to calculate the volume.
$Volume =2 \mathrm{~cm} \\times3 \mathrm{~cm} \\times \mathrm{~cm}$

STEP 4

Calculate the volume of the artifact.
$Volume =2 \mathrm{~cm} \\times3 \mathrm{~cm} \\times4 \mathrm{~cm} =24 \mathrm{~cm}^3$

STEP 5

Now that we have the volume, we can find the density of the artifact. The density is calculated as mass divided by volume.
$Density = Mass / Volume$

STEP 6

Plug in the values for the mass and the volume to calculate the density.
$Density =36 \mathrm{~g} /24 \mathrm{~cm}^3$

STEP 7

Calculate the density of the artifact.
$Density =36 \mathrm{~g} /24 \mathrm{~cm}^3 =1.5 \mathrm{~g/cm}^3$ The density of the artifact is $1.5 \mathrm{~g/cm}^3$ .

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QuestionFind the density of a rectangular artifact with dimensions $2 \mathrm{~cm} \times 3 \mathrm{~cm} \times 4 \mathrm{~cm}$ and mass 36 grams.

Studdy Solution

STEP 1

Assumptions1. The artifact is a rectangular prism with dimensions $\mathrm{~cm}$ by $3 \mathrm{~cm}$ by $4 \mathrm{~cm}$ . . The mass of the artifact is36 grams.
3. The density is calculated as mass divided by volume.

STEP 2

First, we need to find the volume of the rectangular prism. We can do this by multiplying the length, width, and height.
$Volume = Length \\times Width \\times Height$

STEP 3

Now, plug in the given values for the length, width, and height to calculate the volume.
$Volume =2 \mathrm{~cm} \\times3 \mathrm{~cm} \\times \mathrm{~cm}$

STEP 4

Calculate the volume of the artifact.
$Volume =2 \mathrm{~cm} \\times3 \mathrm{~cm} \\times4 \mathrm{~cm} =24 \mathrm{~cm}^3$

STEP 5

Now that we have the volume, we can find the density of the artifact. The density is calculated as mass divided by volume.
$Density = Mass / Volume$

STEP 6

Plug in the values for the mass and the volume to calculate the density.
$Density =36 \mathrm{~g} /24 \mathrm{~cm}^3$

STEP 7

Calculate the density of the artifact.
$Density =36 \mathrm{~g} /24 \mathrm{~cm}^3 =1.5 \mathrm{~g/cm}^3$ The density of the artifact is $1.5 \mathrm{~g/cm}^3$ .

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QuestionFind the density of a rectangular artifact with dimensions 2 cm×3 cm×4 cm2 \mathrm{~cm} \times 3 \mathrm{~cm} \times 4 \mathrm{~cm}2 cm×3 cm×4 cm and mass 36 grams.

Studdy Solution

STEP 1

Assumptions1. The artifact is a rectangular prism with dimensions cm \mathrm{~cm} cm by 3 cm3 \mathrm{~cm}3 cm by 4 cm4 \mathrm{~cm}4 cm. . The mass of the artifact is36 grams.3. The density is calculated as mass divided by volume.

STEP 2

First, we need to find the volume of the rectangular prism. We can do this by multiplying the length, width, and height.Volume=LengthtimesWidthtimesHeightVolume = Length \\times Width \\times HeightVolume=LengthtimesWidthtimesHeight

STEP 3

Now, plug in the given values for the length, width, and height to calculate the volume.Volume=2 cmtimes3 cmtimes cmVolume =2 \mathrm{~cm} \\times3 \mathrm{~cm} \\times \mathrm{~cm}Volume=2 cmtimes3 cmtimes cm

STEP 4

Calculate the volume of the artifact.Volume=2 cmtimes3 cmtimes4 cm=24 cm3Volume =2 \mathrm{~cm} \\times3 \mathrm{~cm} \\times4 \mathrm{~cm} =24 \mathrm{~cm}^3Volume=2 cmtimes3 cmtimes4 cm=24 cm3

STEP 5

Now that we have the volume, we can find the density of the artifact. The density is calculated as mass divided by volume.Density=Mass/VolumeDensity = Mass / VolumeDensity=Mass/Volume

STEP 6

Plug in the values for the mass and the volume to calculate the density.Density=36 g/24 cm3Density =36 \mathrm{~g} /24 \mathrm{~cm}^3Density=36 g/24 cm3

STEP 7

Calculate the density of the artifact.Density=36 g/24 cm3=1.5 g/cm3Density =36 \mathrm{~g} /24 \mathrm{~cm}^3 =1.5 \mathrm{~g/cm}^3Density=36 g/24 cm3=1.5 g/cm3The density of the artifact is 1.5 g/cm31.5 \mathrm{~g/cm}^31.5 g/cm3.

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QuestionFind the density of a rectangular artifact with dimensions $2 \mathrm{~cm} \times 3 \mathrm{~cm} \times 4 \mathrm{~cm}$ and mass 36 grams.

Assumptions1. The artifact is a rectangular prism with dimensions $\mathrm{~cm}$ by $3 \mathrm{~cm}$ by $4 \mathrm{~cm}$ . . The mass of the artifact is36 grams.
3. The density is calculated as mass divided by volume.

First, we need to find the volume of the rectangular prism. We can do this by multiplying the length, width, and height.
$Volume = Length \\times Width \\times Height$

Now, plug in the given values for the length, width, and height to calculate the volume.
$Volume =2 \mathrm{~cm} \\times3 \mathrm{~cm} \\times \mathrm{~cm}$

Calculate the volume of the artifact.
$Volume =2 \mathrm{~cm} \\times3 \mathrm{~cm} \\times4 \mathrm{~cm} =24 \mathrm{~cm}^3$

Now that we have the volume, we can find the density of the artifact. The density is calculated as mass divided by volume.
$Density = Mass / Volume$

Plug in the values for the mass and the volume to calculate the density.
$Density =36 \mathrm{~g} /24 \mathrm{~cm}^3$

Calculate the density of the artifact.
$Density =36 \mathrm{~g} /24 \mathrm{~cm}^3 =1.5 \mathrm{~g/cm}^3$ The density of the artifact is $1.5 \mathrm{~g/cm}^3$ .