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]2 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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