Respuesta :

Answer: option a

Step-by-step explanation:

You can calculate the volume of a prism with this formula:

[tex]V_{prism}=lwh[/tex]

Where l is the lenght, w is the width and h is the height.

You can identify from the figure that:

[tex]l=12cm\\w=5cm\\h=2.54cm[/tex]

Then, substituting these values into the formula, you get that the volume of this prism is:

[tex]V_{prism}=(12cm)(5cm)(2.54cm)=152.4cm^3[/tex]

Answer:

Final answer is choice a) [tex]Volume = 152.4 \, cm^3[/tex]

Step-by-step explanation:

Given that length of the prism = 12 cm

Given that width of the prism = 5 cm

Given that height of the prism = 2.54 cm

Then volume of the rectangular prism is given by formula:

[tex]Volume = (Length)(Width)(Height)[/tex]

[tex]Volume = (12 cm)(5 cm)(2.54 cm)[/tex]

[tex]Volume = 152.4 \, cm^3[/tex]

Hence final answer is choice a) [tex]Volume = 152.4 \, cm^3[/tex]