208k views
5 votes
Determine the volume of the rectangular prism.3 cm3 cm5 1/4cm

User MKer
by
7.0k points

1 Answer

6 votes

Answer:

47.25 cubic centimetres

Explanation:

The volume of the prism is the product of its dimensions.


3\operatorname{cm}*5(1)/(4)cm*3\operatorname{cm}

Now,


5(1)/(4)=5+(1)/(4)

multiplying 5 by 4/4 gives


(4\cdot5)/(4)+(1)/(4)
=(21)/(4)

Therefore,


3\operatorname{cm}*5(1)/(4)cm*3\operatorname{cm}=3\operatorname{cm}*(21)/(4)cm*3\operatorname{cm}
=3\cdot(21)/(4)\cdot3\operatorname{cm}^3
=(3\cdot21\cdot3)/(4)cm^3
=(189)/(4)cm^3
=47.25\operatorname{cm}^3

User Pallupz
by
6.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.