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A company makes concrete bricks that are shaped like rectangular prisms. Each brick is 5 inches long, 4 inches wide, and 2 inches tall. How much concrete will they need to make 1600 bricks?

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Supernova

Answer:

[tex]64000 \ in.^3[/tex]

Step-by-step explanation:

The amount of concrete needed would be measurable by the volume of the brick, since a brick is three-dimensional.

The volume of a rectangular prism is found using the formula: [tex]V=l \times w \times h[/tex]

You are given the length (5 in.), width (4 in.), and height (2 in.) of the bricks. Find how much concrete is needed to make a single brick.

Single brick volume:

  • [tex]5 \ in. \ \times 4 \ in. \ \times 2 \ in.[/tex]
  • [tex]40 \ in.^3[/tex]

In order to find how much concrete would be needed to make 1600 bricks, you would need to multiply the amount of concrete needed to make 1 brick by 1600.

  • [tex]40\ in.^3 \times 1600[/tex]
  • [tex]64000 \ in.^3[/tex]

The company would need [tex]64000 \ in.^3[/tex] of concrete to make 1600 bricks.

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