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Alecsey [184]
3 years ago
7

A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 32 .

Mathematics
2 answers:
Dimas [21]3 years ago
4 0
ANSWER

40.5 {m}^{3}

EXPLANATION


The given prism has a base area of 3m² and a height of 4m.


The volume of this prism is,

= base \: area  \times  \: height


= 3 \times 4 {m}^{3}


=12{m}^{3}


If this prism prism is dilated by a scale factor of

k =  \frac{3}{2}

The scale factor for the volume becomes,

{k}^{3}  =  \frac{27}{8}


We multiply the volume of the given prism by the scale factor of the volume to obtain the volume of the dilated prism to be,

= 12 \times  \frac{27}{8}  {m}^{3}



=40.5{m}^{3}

marysya [2.9K]3 years ago
3 0
The answer to this is 40.5
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