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Question
carrie is packing her clothes in moving boxes that are in the shape of a cube. each box has a volume of 3 cubic feet. the moving truck has shelves that are 12 inches in height. will the moving boxes fit? explain. select choice ; 12 inches = 1 foot. the cube root of 3 is select choice than 1, so the boxes select choice too tall to fit on the shelves. need help with this question? get a hint show answer
Step1: Convertir unidades
12 pulgadas = 1 pie, se establece la altura de los estantes.
Step2: Encontrar la altura de los cubos
El volumen de un cubo es $V = s^3$, donde $s$ es la longitud del lado (y la altura en este caso). Si $V = 3$ pies cúbicos, entonces $s=\sqrt[3]{3}$. Calculamos $\sqrt[3]{3}\approx1.44$.
Step3: Comparar alturas
Como $1.44> 1$, los cubos son más altos que la altura de los estantes.
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No; 12 inches = 1 foot. The cube root of 3 is mayor than 1, so the boxes son too tall to fit on the shelves.