QuestionFind the mass of a butter cube with dimensions $10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm}$ and density $0.9 \mathrm{~g/cm^3}$ .

Studdy Solution

STEP 1

Assumptions1. The dimensions of the butter are $10.0 \mathrm{~cm} \times10.0 \mathrm{~cm} \times10.0 \mathrm{~cm}$ . The density of the butter is $0.9 \mathrm{~g/cm^3}$
3. The butter is a perfect cube and has no air pockets or other inconsistencies

STEP 2

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

STEP 3

Now, plug in the given values for the length, width, and height to calculate the volume.
$Volume =10.0 \mathrm{~cm} \times10.0 \mathrm{~cm} \times10.0 \mathrm{~cm}$

STEP 4

Calculate the volume of the butter.
$Volume =10.0 \mathrm{~cm} \times10.0 \mathrm{~cm} \times10.0 \mathrm{~cm} =1000 \mathrm{~cm^3}$

STEP 5

Now that we have the volume of the butter, we can find the mass of the butter. This can be done by multiplying the volume by the density.
$Mass = Volume \times Density$

STEP 6

Plug in the values for the volume and the density to calculate the mass.
$Mass =1000 \mathrm{~cm^3} \times0.9 \mathrm{~g/cm^3}$

STEP 7

Calculate the mass of the butter.
$Mass =1000 \mathrm{~cm^3} \times0.9 \mathrm{~g/cm^3} =900 \mathrm{~g}$ The mass of the butter is900 grams.

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QuestionFind the mass of a butter cube with dimensions $10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm}$ and density $0.9 \mathrm{~g/cm^3}$ .

Studdy Solution

STEP 1

Assumptions1. The dimensions of the butter are $10.0 \mathrm{~cm} \times10.0 \mathrm{~cm} \times10.0 \mathrm{~cm}$ . The density of the butter is $0.9 \mathrm{~g/cm^3}$
3. The butter is a perfect cube and has no air pockets or other inconsistencies

STEP 2

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

STEP 3

Now, plug in the given values for the length, width, and height to calculate the volume.
$Volume =10.0 \mathrm{~cm} \times10.0 \mathrm{~cm} \times10.0 \mathrm{~cm}$

STEP 4

Calculate the volume of the butter.
$Volume =10.0 \mathrm{~cm} \times10.0 \mathrm{~cm} \times10.0 \mathrm{~cm} =1000 \mathrm{~cm^3}$

STEP 5

Now that we have the volume of the butter, we can find the mass of the butter. This can be done by multiplying the volume by the density.
$Mass = Volume \times Density$

STEP 6

Plug in the values for the volume and the density to calculate the mass.
$Mass =1000 \mathrm{~cm^3} \times0.9 \mathrm{~g/cm^3}$

STEP 7

Calculate the mass of the butter.
$Mass =1000 \mathrm{~cm^3} \times0.9 \mathrm{~g/cm^3} =900 \mathrm{~g}$ The mass of the butter is900 grams.

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QuestionFind the mass of a butter cube with dimensions 10.0 cm×10.0 cm×10.0 cm10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm}10.0 cm×10.0 cm×10.0 cm and density 0.9 g/cm30.9 \mathrm{~g/cm^3}0.9 g/cm3.

Studdy Solution

STEP 1

STEP 2

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

STEP 3

Now, plug in the given values for the length, width, and height to calculate the volume.Volume=10.0 cm×10.0 cm×10.0 cmVolume =10.0 \mathrm{~cm} \times10.0 \mathrm{~cm} \times10.0 \mathrm{~cm}Volume=10.0 cm×10.0 cm×10.0 cm

STEP 4

Calculate the volume of the butter.Volume=10.0 cm×10.0 cm×10.0 cm=1000 cm3Volume =10.0 \mathrm{~cm} \times10.0 \mathrm{~cm} \times10.0 \mathrm{~cm} =1000 \mathrm{~cm^3}Volume=10.0 cm×10.0 cm×10.0 cm=1000 cm3

STEP 5

Now that we have the volume of the butter, we can find the mass of the butter. This can be done by multiplying the volume by the density.Mass=Volume×DensityMass = Volume \times DensityMass=Volume×Density

STEP 6

Plug in the values for the volume and the density to calculate the mass.Mass=1000 cm3×0.9 g/cm3Mass =1000 \mathrm{~cm^3} \times0.9 \mathrm{~g/cm^3}Mass=1000 cm3×0.9 g/cm3

STEP 7

Calculate the mass of the butter.Mass=1000 cm3×0.9 g/cm3=900 gMass =1000 \mathrm{~cm^3} \times0.9 \mathrm{~g/cm^3} =900 \mathrm{~g}Mass=1000 cm3×0.9 g/cm3=900 gThe mass of the butter is900 grams.

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QuestionFind the mass of a butter cube with dimensions $10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm} \times 10.0 \mathrm{~cm}$ and density $0.9 \mathrm{~g/cm^3}$ .

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

Now, plug in the given values for the length, width, and height to calculate the volume.
$Volume =10.0 \mathrm{~cm} \times10.0 \mathrm{~cm} \times10.0 \mathrm{~cm}$

Calculate the volume of the butter.
$Volume =10.0 \mathrm{~cm} \times10.0 \mathrm{~cm} \times10.0 \mathrm{~cm} =1000 \mathrm{~cm^3}$

Now that we have the volume of the butter, we can find the mass of the butter. This can be done by multiplying the volume by the density.
$Mass = Volume \times Density$

Plug in the values for the volume and the density to calculate the mass.
$Mass =1000 \mathrm{~cm^3} \times0.9 \mathrm{~g/cm^3}$

Calculate the mass of the butter.
$Mass =1000 \mathrm{~cm^3} \times0.9 \mathrm{~g/cm^3} =900 \mathrm{~g}$ The mass of the butter is900 grams.