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2.) A girl builds a rectangular prism out of wooden cubes. She uses 50 cubes that measure 1/2 inch on each edge. What is the volume, in cubic inches, of the rectangular prism
she builds?
8 1/3 cubic inches
61/4 cubic inches​

Respuesta :

Answer:

The rectangular prism has  [tex]6\frac14[/tex] cubic inches of volume.

Step-by-step explanation:

Cube:

  • All edges are congruent.
  • It has 6 faces.
  • Length= width = height.
  • The surface area = 6×side².
  • The volume is= side³.

Given that, a girl has 50 identical cubes that measure [tex]\frac12[/tex] inch on each edge.

Volume of a cube is = side³.

                                  [tex]=(\frac12)^3[/tex] cubic inch

                                 [tex]=\frac18[/tex] cubic inch

The volume of 50 cubes is [tex]=(50\times \frac18)[/tex]

                                              [tex]=(25\times \frac14)[/tex]

                                             [tex]=\frac{25}4[/tex]

                                             [tex]=6\frac14[/tex] cubic inches

4)25(6

  24

_____

      1

[tex]\therefore \frra{25}4=6\frac14[/tex]

The volume of rectangular prism is [tex]6\frac14[/tex] cubic inches.

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