find the volume of the prism.
a)152.4cm^3
b)158.3cm^3
c)163.9cm^3
d)167.1cm^3
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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]