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olasank [31]
3 years ago
14

How many rectangular prisms 8 inches long, 5 inches wide, and 2 inches high can fit into another rectangular prism that measures

16 inches long, 10 inches wide, and 10 inches high?
Mathematics
1 answer:
tangare [24]3 years ago
8 0

Answer:

20

Step-by-step explanation:

Volume of rectangular prism = length × width × height

Length = 8 inches

Width = 5 inches

Height = 2 inches

Volume of rectanglular prism = length × width × height

= 8 inches * 5 inches * 2 inches

= 80 inches ³

Dimensions of another rectangular prism:

Length = 16 inches

Width = 10 inches

Height = 10 inches

Volume of rectangular prism B = length × width × height

= 16 inches * 10 inches * 10 inches

= 1,600 inches ³

Number of prism A that fits into prism B = Volume of prism B ÷ volume of prism A

= 1,600 inches ³ ÷ 80 inches ³

= 20

Number of prism A that fits into prism B = 20

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9514 1404 393

Answer:

  it is application of the multiplication property of equality

Step-by-step explanation:

You can use "cross products" to solve any proportion. What looks like a "cross product" is just application of the multiplication property of equality. That property says the variable value is unchanged if both sides of the equation are multiplied by the same value.

For your fraction, the "cross product" is what you get when you multiply both sides of the equation by 500.

  \dfrac{18}{5}=\dfrac{x}{100}\qquad\text{given}\\\\\dfrac{18\cdot5\cdot100}{5}=\dfrac{x\cdot5\cdot100}{100}\qquad\text{multiply by $5\cdot100$}\\\\18\cdot100=5\cdot x\qquad\text{cancel common factors; looks like cross product}

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Note that the next step here is to divide by the x-coefficient, the 5 that was in the left-side denominator.

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Please also note that this is exactly the same result you would get by multiplying the original equation by the original denominator of x.

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How to factor quadratic
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Point Q is the midpoint of GH. GQ=2x+3, and GH=5x−5. What is the length of GQ?
UNO [17]
As given Q is the midpoint of GH. SO it will divide GH in two equal parts. We can also say GQ is half of GH.

So we can write

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