If a rectangular prism has a length, width, and height of 3/8 centimeter, 5/8 centimeter, and 7/8 centimeter, respectively , then the volume of the prism is ____ cubic centimeter

Respuesta :

Answer:

The volume of the prism is cubic [tex]\frac{105}{512}[/tex] centimeters.

Step-by-step explanation:

Given that a rectangular prism has the following dimensions:

[tex]length, l=\frac{3}{8}cm \\\\width, w=\frac{5}{8}cm \\\\height, h=\frac{7}{8}[/tex]

We know that a rectangular prism of length 'l', width 'w' and height 'h' is given by

[tex]V=w*h *l.[/tex]

Therefore, the volume of the given prism will be

[tex]V\\\\=w*h*l\\\\=\frac{3}{8}*\frac{5}{8}*\frac{7}{8} \\\\=\frac{105}{512}cm^{3}.[/tex]

Thus, the volume of the prism is [tex]\frac{105}{512}[/tex] cubic centimetres.

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