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RUDIKE [14]
2 years ago
13

A rectangular prism has a length of 6 meters, a height of 8 meters, and a width of 5 meters. What is its volume, in cubic meters

?
Mathematics
2 answers:
KiRa [710]2 years ago
7 0

Answer:

240

Step-by-step explanation:

length x width x height

6 x 5 x 8

Aleonysh [2.5K]2 years ago
7 0

Answer:

240 cubic meters

The formula is l * w*h

6 · 8 · 5 = 240

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Can anyone explain how to do this? The answer isn't as important as the explanation. My teacher gave us a video w/o an example l
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Answer:

x = 182.53

Step-by-step explanation:

Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x

Let's solve.

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Opp = 87

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Thus,

tan(\theta) = \frac{opposite}{adjacent}

Plug in the values

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Multiply both sides by a

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\frac{tan(20) \times a}{tan(20)} = \frac{87}{tan(20)}

a = \frac{87}{tan(20)}

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Finding the side length adjacent to 57°:

Opp = 87

Adjacent length = ? = b

\theta = 57

Thus,

tan(\theta) = \frac{opposite}{adjacent}

Plug in the values

tan(57) = \frac{87}{b}

Multiply both sides by b

tan(57) \times b = \frac{87}{b} \times b

tan(57) \times b = 87

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\frac{tan(57) \times b}{tan(57)} = \frac{87}{tan(57)}

b = \frac{87}{tan(57)}

b = 56.50

Therefore:

x = a - b

x = 239.03 - 56.50

x = 182.53

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