Respuesta :

✏️VOLUME

Solution:

Figure #1.

Since the given is a rectangular prism, use the formula:

  • V = lwh

Where:

  • l - length
  • w - width
  • h - height

Given:

  • l = 15 in.
  • w = 6 in.
  • h = 8 in.

» Substitute the givens on the formula.

  • V = lwh
  • V = (15 in.)(6 in.)(8 in.)
  • V = (90 in.²)(18 in.)
  • V = 1 620 in.³

Therefore, the volume of the rectangular prism is 1 620 in.³

Figure #2

Since the given a cube, use the formula:

Where:

  • e - edge

Given:

  • e = 9 in.

» Substitute the given on the formula.

  • (9 in.)³
  • (9 in.)(9 in.)(9 in.)
  • 729 in.³

Therefore, the volume of the cube is 729 in.³

Figure #3

Since the given is a cylinder, use the formula:

  • V = πr²h

Where:

  • π - pi (3.14)
  • r - radius
  • h - height

Given:

  • r = 8 in.
  • h = 14 in.

» Substitute the givens on the formula.

  • V = πr²h
  • V = (3.14)(8 in.)(14 in.)
  • V = (25.12 in.)(14 in.)
  • V = 351.68 in.³

Therefore, the volume of the cylinder is 351.68 in.³

Answer:

Number #1

  • 1 620 in.³

Number #2

  • 729 in.³

Number #3

  • 351.68 in.³

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