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2 years ago

5. Find the value of x to the nearest tenth. Volume of the prism is 576 cm? Volume: 576 cm3

Mathematics

1 answer:

Snezhnost [94]2 years ago

8 0

the volume of the triangular prism will be, the area of the triangular face times its length

$\stackrel{\textit{area of the triangle}}{\left[ \cfrac{1}{2}(\underset{b}{8})(\underset{h}{8}) \right]}~~ ~~\stackrel{length}{(x)}~~ = ~~\stackrel{volume}{576}\implies 32(x)=576 \\\\\\ 32x=576\implies x=\cfrac{576}{32}\implies x=18$

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3 years ago

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Crazy boy [7]

<h2>The value of x "option A) 12.5" is required answer.</h2>

Step-by-step explanation:

In given figure,

Base (b) = 11 and Angle = 28°

To find, the value of x = ?

We know that,

$\cos A=\dfrac{b}{h}$

Where, h is the hypotaneous = x

⇒ $\cos 28=\dfrac{11}{x}$

⇒ $x=\dfrac{11}{\cos 28}$

The value of $\cos 28$ = 0.8829

⇒ x = $\dfrac{11}{0.8829}$

⇒ x = 12.458

⇒ x ≈ 12.5

∴ The value of x ≈ 12.5

Thus, the value of x "option A) 12.5" is required answer.

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