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?
Answers
Answer:
7 cmStep-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
The height is 7 cm of the rectangular prism whose volume is 504 cm³.
What is a rectangular prism?A rectangular prism is a solid three-dimensional structure with six faces and rectangular bases. A rectangular prism is also a cuboid. A cuboid and a rectangular prism have the same cross-section.
Given, 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.
From the general formula of the rectangular prism
Volume = length *width *height
Substituting the data given above
504 = 9 * 8 * height
Height = 7 cm
Therefore, the Height of the rectangular prism is 7 cm.
Learn more about rectangular prism here:
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Answer:
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