A right rectangular prism is 10 1/2 m wide, 15 1/2 m long, and 3 m tall. What is the volume of the prism?
A- 46 1/2 m³ B- 162 3/4m³ C- 488 1/4 m³ D- 528 m³

Respuesta :

the answer is 488 1/4.

Answer:

Option C is correct

[tex]488\frac{1}{4} m^3[/tex]

Step-by-step explanation:

Volume(V) of a right rectangular prism is given by:

[tex]V = lwh[/tex]

where

l is the length, w is the width and h is the height of the prism respectively.

as per the statement:

A right rectangular prism is 10 1/2 m wide, 15 1/2 m long, and 3 m tall.

⇒[tex]w = 10\frac{1}{2}=10.5 m[/tex], [tex]l = 15\frac{1}{2} = 15.5 m[/tex] and h = 3m

Substitute these in [1] we get;

[tex]V = (10.5) \cdot 15.5 \cdot 3 = 488.25 m^3[/tex]

Therefore, the volume of the prism is, [tex]488.25 = 488\frac{1}{4} m^3[/tex]

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