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3 years ago

Is the volume of a triangular prism one-third the volume of a rectangular prism with the same base area and height?

Mathematics

1 answer:

Vlad [161]3 years ago

3 0

Nope

Step-by-step explanation:

Volume of rectangular prism :

= Base Area × h = l × w × h

Volume of triangular prism :

= Base Area × h

Cuz the base area of triangular prism, the volume is :

(½ × l × w) × h

= ½ lwh

So, the volume of a triangular prism is half of a rectangular prism

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Read 2 more answers

Find the missing side length

sasho [114]

Answer:

Missing side length = 54

Step-by-step explanation:

If both the triangles given in the picture are similar their corresponding sides will be proportional.

By applying this rule in the given similar triangles,

$\frac{35}{30}=\frac{49}{42}=\frac{63}{6x-6}$

$\frac{7}{6}=\frac{7}{6}= \frac{63}{6x-6}$

$\frac{7}{6}= \frac{63}{6x-6}$

$\frac{1}{6}= \frac{9}{6x-6}$

$\frac{1}{6}= \frac{9}{6(x-1)}$

$1=\frac{9}{x-1}$

$x-1=9$

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Therefore, missing side length = $6x-6$

= $6(x-1)$

= $6(10-1)$

= $6\times 9$

= $54$

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3 years ago