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find the volume. 12 1/8 in 1 1/4 in 4 in​

Sagot :

Answer:

  • 60 5/8 in³

Step-by-step explanation:

We have three dimensions and are asked to find the volume.

It is assumed that the dimensions are of the rectangular prism:

  • V = lwh
  • V = 12 1/8 * 1 1/4 * 4 = 97/8 * 5/4 *4 = 485/8 = 60 5/8 in³

Answer:

  • 485/8 in³

Step-by-step explanation:

Given dimensions:

  • 12 1/8 in.
  • 1 1/4 in.
  • 4 in.

We know that the formula of the volume of a rectangular prism is length × width × height. Now, let's find the volume of the rectangular prism.

  • => 12 1/8 x 1 1/4 x 4
  • => [{(12 x 8) + 1}/8] x [{(4 x 1) + 1}/4] x 4
  • => [{(96) + 1}/8] x [{(4) + 1}/4] x 4
  • => [{96 + 1}/8] x [{4 + 1}/4] x 4
  • => [{97}/8] x [{5}/4] x 4
  • => [97/8] x [5/4] x 4
  • => 97/8 x 5/4 x 4
  • => 97/8 x 5
  • => 97/8 x 5
  • => 485/8 in³

Hence, the volume of the rectangular prism is 485/8 in³.