The volume, V, of a rectangular prism is determined using the formula V=lwh, where l is the length, w is the width, and h is the height of the prism.


Using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? Round to the nearest tenth.


0.2 inches

4.5 inches

46.1 inches

414.7 inches

Respuesta :

Answer:

4.5inches

Step-by-step explanation:

Given the volume of a prism expressed as:

V =lwh where:

l is the length

w is the width,

h is the height of the prism.

Given

V = 138.24in³

h = 9.6in

l = 3.2in

w = ?

Substitute the given values into the formula to get the width

138.24 =  9.6*3.2*w

138.24 = 30.72w

w = 138.24/30.72

w = 4.5in

Hence the width of the rectangular prism is 4.5inches

The width of the rectangular pyramid that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches is 4.5 inches.

Volume of a rectangular pyramid:

  • v = lwh

where

l = length

w = width

h = height

v = 138.24 inches³

h = 9.6 inches

l = 3.2 inches

w  = ?

138.24 = 9.6 × 3.2 × w

138.24 = 30.72w

w = 138.24 / 30.72

w = 4.5 inches

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