A rectangular prism is shown below. What is the volume of the prism?

A [tex]12\frac{3}{256}[/tex] cubic inches

B [tex]35\frac{3}{4}[/tex] cubic inches

C [tex]48\frac{3}{64}[/tex] cubic inches

D [tex]57\frac{3}{4}[/tex] cubic inches

A rectangular prism is shown below What is the volume of the prismA tex12frac3256tex cubic inchesB tex35frac34tex cubic inchesC tex48frac364tex cubic inchesD te class=

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Answer:

[tex]\large\boxed{D.\ 57\dfrac{3}{8}\ in^3}[/tex]

Step-by-step explanation:

Look at the picture.

The little cube has a volume 1/8 in³.

Calculate the number of small cubes, in the same way as we count the volume of a rectangular prism:

[tex]V=lwh[/tex]

l - length (11)

w - width (6)

h - height (7)

Substitute:

[tex]V=(11)(6)(7)=462[/tex]

The volume of the one small cubes is 1/8 in³.

Therefore the toatal volume is:

[tex]V=462\left(\dfrac{1}{8}\ in^3\rifgt)=\dfrac{462}{8}\ in^3=57\dfrac{3}{8}\ in^3[/tex]

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