The volume of a rectangular prism is 504 cubic centimeters. If the length of a rectangular prism is 9 centimeters and the width is 8 centimeters, what is the height?

Answer :

TheAnimeGirl

Answer:

7 cm

Step-by-step explanation:

Given:

Volume of a rectangular prism ( V ) = 504 [tex]\sf{ cm^{3} }[/tex]

Length of a rectangular prism ( l ) = 9 cm

Width of a rectangular prism ( w ) = 8 cm

To find:

Height of a rectangular prism ( h ) = ?

Volume of a rectangle = lwh

[tex]\dashrightarrow[/tex] 504 = 9 * 8 * h

[tex]\dashrightarrow[/tex] 504 = 72 h

[tex]\dashrightarrow[/tex] 72h = 504

[tex]\dashrightarrow[/tex] h = [tex]\frac{504}{72}[/tex]

[tex]\dashrightarrow[/tex] h = 7 cm

The height of a rectangular prism is 7 cm.

Hope I helped!

Best regards!

~TheAnimeGirl

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