I need help badly... consider the rectangular prism with a length 3 cm, width 6 cm, and height 10 cm. If one of the dimensions is tripled what will happen to the volume? Justify your response.

Respuesta :

tripled
original volume 3*6*10=180
when one is tripled 3(3) * 6*10 = 3*3*6*10=180*3
it doesnt matter which is tripled

Answer:

Volume becomes 3 times of original volume .

Step-by-step explanation:

Length of rectangular prism = 3 cm

Width of rectangular prism = 6 cm

Height of rectangular prism = 10 cm

Volume of rectangular prism = [tex]Length \times Breadth \times Height[/tex]

                                                 = [tex]3 \times 6 \times 10[/tex]

                                                 = [tex]180 cm^3[/tex]

Now  one of the dimensions is tripled i.e. one of the dimensions becomes 3 times

So, Volume of rectangular prism = [tex]3 \times 3 \times 6 \times 10[/tex]

                                                 = [tex]3(180)[/tex]

                                                 = [tex]540 cm^3[/tex]

Hence one of the dimensions is tripled Volume becomes 3 times of original volume .

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