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Korvikt [17]
4 years ago
5

A rectangular prism has a length of 9 in., a width of 4 in., and a height of 1 1/2in. The prism is filled with cubes that have e

dge lengths of 1/2 in. How many cubes are needed to fill the rectangular prism?
Mathematics
1 answer:
Ludmilka [50]4 years ago
3 0

Hey there! :)

Answer:

432 cubes.

Step-by-step explanation:

Volume of rectangular prism: V = l × w × h

V = 9 × 4 × 1.5

V = 54 in³

Volume of cubes: V = s³

V = 1/2³

V = 1/8 in³

Set up an equation to solve for the # of cubes needed (x):

54 = 1/8x

Divide both sides by 1/8:

54 × 8/1 = x

x = 432 cubes.

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IrinaK [193]
The ratio of yellow balloons to blue balloons is 8:12
Then there are 100 balloons. Making the equation, we are able to have:
8X + 12X = 1000
20x = 1000
X = 50.

Yellow balloons = 8x = 8 * 50 = 400 yellow balloons
Blue balloons = 12X = 12 * 50 = 600 blue balloons

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8 0
3 years ago
The length of a rectangular picture is 17 inches and the perimeter is 60 inches. find the width
Mice21 [21]
I got 255.

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GenaCL600 [577]

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the answer is zeroo

Step-by-step explanation:


4 0
4 years ago
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qaws [65]

Answer:

4.242641

Step-by-step explanation:

d=\sqrt{(1-(-2))^{2}+(-2-1)^{2}  }

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5 0
3 years ago
Please help with this question
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Answer:

sin( -∅ )

- 1 / csc ( ∅ )

1 / csc ( -∅ )

Step-by-step explanation:

Since sin(x) is and odd function (a function where f(-a) = f(a) ).

-sin( ∅ ) = sin( -∅ )

On the other hand, we know that sin( ∅ ) = 1 / csc ( ∅ )

Another odd function, so the same as before applies.

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