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The volume of prism A is 144^3 if the base is 24^2 what is the height of prism A?

User Joe Sonderegger
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1 Answer

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7 votes

Answer

Height of prism A = 6 units

Step-by-step explanation

The volume of a prism is given as the product of the area of a face that occurs on two sides of the prism and the distance between the two faces.

In the case of this face being a base, the volume of the prism is given as

Volume = (Area of Base) × (Perpendicular height)

Volume = 144 m³

Area of base = 24 m²

Perpendicular height = h = ?

Volume = (Area of Base) × (Perpendicular height)

144 = (24) × (h)

144 = 24h

We can rewrite this as

24h = 144

Divide both sides by 24

(24h/24) = (144/24)

h = 6 units

Hope this Helps!!!

User Abhishekkumar
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