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Esther needs a bin for her hair bows. A yellow bin has a length of 11.4 inches, a width of 4.2 inches, and a height of LaTeX: \frac{8}{3}8 3 inches. A red bin has a length of 9 inches, a width of 5.45 inches and a height of LaTeX: \frac{11}{5}11 5 inches. What is the volume of the bin with the greatest volume? Explain your answer.

Respuesta :

Answer:

Yellow Bin

Step-by-step explanation:

Yellow Bin

Length = 11.4 inches,

Width = 4.2 inches,

Height =  [tex]\frac{8}{3}[/tex]

Volume of the yellow bin=LWH[tex]=11.4 X 4.2 X \frac{8}{3}=127.68 \:cubic \:inches[/tex]

Red Bin

Length = 9 inches,

Width = 5.45 inches,

Height =  [tex]\frac{11}{5}[/tex]

Volume of the red bin=LWH[tex]=9X 5.45 X \frac{11}{5}=107.91 \:cubic \:inches[/tex]

The yellow bin has a greater volume since 127.68 is greater than 107.91.