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GaryK [48]
3 years ago
9

How do I find the volume of a prism?

Mathematics
1 answer:
frez [133]3 years ago
6 0

Answer:

470 cm³

Step-by-step explanation:

Decompose the prism into two rectangular prism.

Prism 1 will have the following dimensions and volume:

Length = 10 cm

Height = 8 cm

Width = 9 - 5 = 4 cm

Volume = L × W × H

Volume = 10 × 8 × 4 = 320 cm³

Prism 2:

Length = 10 cm

Height = 3 cm

Width = 5 cm

Volume = 10 × 3 × 5 = 150 cm³

✔️Volume of the entire prism = 320 + 150 = 470 cm³

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The question is incomplete. Here is the complete question:

The height of a wooden pole, h, is equal to 15 feet. A taut wire is stretched from a point on the ground to the top of the pole. The  distance from the base of the pole to this point on the ground, b. is equal to 8 feet. What is the length of the wire?

Answer:

Length of wire = 17 feet

Step-by-step explanation:

Given:

The height of the wooden pole is, h=15\ ft

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Let the length of the wire be 'l'.

Now, consider the triangle formed by the pole, the base, and the wire. The length of the wire is the slant length and hence the hypotenuse of the triangle.

Using Pythagorean theorem, we can find the hypotenuse.

(Hypotenuse)^2=(height)^2+(base)^2\\l^2=h^2+b^2

Plug in the given values and solve for 'l'. This gives,

l^2=15^2+8^2\\\\l^2=225+64\\\\l^2=289\\\\l=\sqrt{289}\\\\l=\pm17

As length can never be negative, we ignore the negative result.

Therefore, the length of the wire is 17 feet.

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