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larisa86 [58]
3 years ago
7

Which rectangular prism has the greatest volume?

Mathematics
2 answers:
Artyom0805 [142]3 years ago
8 0

Answer:

you would get your answer by timesing all the numbers together, that it gives you.

Step-by-step explanation:

If my math is correct it would be the second one.


bulgar [2K]3 years ago
4 0

Answer: First prism has the greatest volume.

Step-by-step explanation:

Since we have given that

Volume of prism = Length × Breadth × Height

So, we need to find the greatest volume, for which we find volumes of all figures:

1) Volume of prism would be

5\times 7\times 5\\\\=175\ cm^3

2) Volume of prism would be

10\times 3\times 4\\\\=120\ cm^3

3) volume of prism would be

7\times 7\times 3\\\\=147\ cm^3

4) Volume of prism would be

5\times 3\times 7\\\\=105\ cm^3

Hence, first prism has the greatest volume.

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Given:

Side length = 12 in

To find:

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Solution:

Number of sides (n) = 6

Let us find the apothem using formula:

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where s is side length and n is number of sides.

$a=\frac{12}{2 \tan \left(\frac{180^\circ}{6}\right)}

$a=\frac{6}{ \tan (30^\circ)}

$a=\frac{6}{ \frac{1}{\sqrt{3} }}

$a=6\sqrt{3}

Area of the regular polygon:

$A=\frac{1}{2}(\text { Perimeter })(\text { apothem })$

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A=216 \sqrt{3}

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Which relationship describes angles 1 and 2?
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Step-by-step explanation:

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