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olganol [36]
2 years ago
7

Priya's rectangular prism measures inches by inches by 2 inch.

Mathematics
1 answer:
dedylja [7]2 years ago
5 0

The number of cubes with edge length ⅕ inch that will fit in the prism is: 1,920 cubes

<h3>Volume of a Rectangular Prism</h3>

Volume of a rectangular prism = length × width × height

<h3>Volume of a Cube</h3>

A cube has equal edge length. Therefore, the volume of a cube = a³, where a is the edge length.

Given the following,

Dimensions of Priya's Rectangular Prism:

2⅖ = 2.4 inches

3⅕ = 3.2 inches

2 inches

Volume of the Rectangular Prism = 2.4 × 3.2 × 2 = 15.36 in.³

Dimension of the cubes:

edge length = ⅕ inch

Volume of the cube = (⅕)³ = 0.008 in.³

The number of ⅕ inch edge cube that will fit in the prism = Volume of Prism / Volume of Cube

= 15.36/0.008 = <em>1,920 cubes </em>

Learn more about Volume of Prism on:

brainly.com/question/9761614

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21/50 or 21:50

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420 meters is 420/1000 of a km which is equal to 42/100 = 21/50 or 21:50

Is it right?

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The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

  • If the equation of a  line is ax + by = k is dilated, with center origin and scale factor k, then the equation of the image of the line is kax + kby = kc
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Line L is mapped onto the line T by a dilation centered at the origin and  a scale factor of 3.

That means lint T is the image of line L after dilation

∵ The equation of line L is 2x - y = 7

∵ Line L is dilated by scale factor 3 and centered at origin

- That means multiply the equation of line L by 3 to find the

   equation of line t

∵ Line T is the image of line L after dilation

∴ The equation of line T is (3)(2x) - (3)(y) = (3)(7)

∴ The equation of line T is 6x - 3y = 21

<em>Very important note:</em>

The equation of line T is the same with equation of line L but multiplied by the scale factor 3 ⇒ L and T are coincide lines (same line)

That means the equation of lines T and L is 2x - y = 7

The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

Learn more:

You can learn more about dilation in brainly.com/question/2480897

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