The volume, V, of a rectangular prism is determined using the formula V=lwh, where 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.

Respuesta :

The width of rectangular prism is 4.5 inches

Solution:

Given that volume, V, of a rectangular prism is determined using the formula:

v = lwh

Where is the length, w is the width, and h is the height of the prism

To find: width of rectangular prism

From given question,

v = 138.24 cubic inches

h = 9.6 inches

l = 3.2 inches

Substituting the values in formula, we get

[tex]138.24 = 3.2 \times w \times 9.6\\\\138.24 = w \times 30.72\\\\w = \frac{138.24}{30.72}\\\\w = 4.5[/tex]

Thus the width of rectangular prism is 4.5 inches

Answer: b

Step-by-step explanation: