Answered

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Janiya has a shoebox with a volume of 609 cubic inches. The length of the shoebox is 14.5 inches and the width is 7 inches. What is the height of the shoebox? Group of answer choices

Sagot :

theleangreenbean

Answer:

6 inches

Step-by-step explanation:

Hi there!

[tex]V=lwh[/tex] where l is the length, w is the width and h is the height of a rectangular prism

Plug in the volume (609), length (14.5) and width (7)

[tex]609=(14.5)(7)h\\609=(101.5)h[/tex]

Divide both sides by 101.5 to isolate h

[tex]\frac{609}{101.5} =\frac{101.5h}{101.5} \\6=h[/tex]

Therefore, the height of the shoebox is 6 inches.

I hope this helps!

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