Find the volume of the rectangular prism.
2 answers:
The equation for the volume of a rectangular prism is:
V = lwh
where V = volume, l = length of base, w = width of base, and h = height of the prism.
From your picture, you can see that the length, l = 16cm, width, w = 9cm, and the height of the prism, h = 4cm. Plug these numbers into the equation and solve for volume:
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Answer: D) 576 cm^3
V = lwh
where V = volume, l = length of base, w = width of base, and h = height of the prism.
From your picture, you can see that the length, l = 16cm, width, w = 9cm, and the height of the prism, h = 4cm. Plug these numbers into the equation and solve for volume:
--------
Answer: D) 576 cm^3
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<h2>Steps</h2>
So the 45-45-90 triangle is considered to be a "special triangle" and has a rule with it. If the legs are x, then the hypotenuse is x√2. Since we know that the hypotenuse is 18, this means we can set up our equation as such:
From here we can solve for x. Firstly, divide both sides by √2.
Next, we want to simplify this expression and to do that we first have to rationalize the denominator. With the right side, multiply the numerator and denominator by √2:
Next, divide:
<u>In short, the length of one leg of the triangle is 9√2 cm.</u>