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vazorg [7]
3 years ago
9

A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 cubic units

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
5 0

Answer:

<h2>108 cubes</h2>

Step-by-step explanation:

V_p=4\\\\\text{Calculate the volume of a cube:}\\\\V_{c}=\left(\dfrac{1}{3}\right)^3=\dfrac{1}{27}\\\\\text{Calculate how many times the volume of the prism is greater}\\\text{than the volume of the cube:}\\\\\dfrac{V_p}{V_c}=\dfrac{4}{\frac{1}{27}}=4\cdot27=108

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The $315 cost of the couch after tax, gives the cost before tax, <em>C</em>, as the following equation;

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<h3>How can the cost before tax be expressed?</h3>

The cost of the couch with tax = $315

Let, <em>t</em>, represent the tax rate, and let <em>C</em>, represent the cost before tax, we have;

315 = C + C × t

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Which gives;

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