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25 multiple choice 1 point a piece of wood measures 4 in x 6 in x 3 in …

Question

25 multiple choice 1 point a piece of wood measures 4 in x 6 in x 3 in and has a mass of 80 grams. what is its density? 160 grams / in³ 1.1 grams / in³ 0.9 grams / in³ 26.7 grams / in³

Explanation:

Step1: Calculate the volume of the wood

The volume \(V\) of a rectangular - prism (wood in this case) is given by \(V = l\times w\times h\). Here, \(l = 4\space in\), \(w = 6\space in\), \(h = 3\space in\). So, \(V=4\times6\times3\).

$$V = 72\space in^{3}$$

Step2: Calculate the density

The formula for density \(
ho\) is \(
ho=\frac{m}{V}\), where \(m = 80\space g\) (mass) and \(V = 72\space in^{3}\) (volume).
\(
ho=\frac{80}{72}\)

$$ LATEXBLOCK0 $$

Answer:

\(1.1\space\frac{grams}{in^{3}}\) (the second option)