SAT High School

A piece of wood has a mass of 303030 grams (\text{g})(g)left parenthesis, start text, g, end text, right parenthesis and a volume of 404040 cubic centimeters \left(\text{cm}^3\right)(cm
3
)left parenthesis, start text, c, m, end text, cubed, right parenthesis. A second piece of wood has the same density \left(\dfrac{\text{g}}{\text{cm}^3}\right)(
cm
3

g
​
)left parenthesis, start fraction, start text, g, end text, divided by, start text, c, m, end text, cubed, end fraction, right parenthesis and a volume of 240\ \text{cm}^3240 cm
3
240, space, start text, c, m, end text, cubed. What is the mass, in grams, of the second piece of wood?

Answers

Answer 1

The mass, in grams, of the second piece of wood is; 180 grams

How to find the density of an object?

We are given;

Mass of first wood = 30 grams

Volume of first wood = 40 cubic centimeters(cm³).

The formula for the density of an object is;

Density = mass/volume

Thus

Density = 30/40

Density = 0.75 g/cm³

Now, the second piece of wood has the same density (g/cm³) and a volume of 240 cm³.

Thus;

Mass of second wood/240 = 0.75

Mass of second wood = 240 * 0.75

Mass of second wood = 180 g

Read more about object density at; https://brainly.com/question/28647250

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Complete question is;

A piece of wood has a mass of 30 grams and a volume of 40 cubic centimeters(cm³). A second piece of wood has the same density (g/cm³) and a volume of 240 cm³. What is the mass, in grams, of the second piece of wood?

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