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A solid wooden block in the shape of a rectangular prism has a length 3/8, width, and height of centimeter, 1/8 centimeter, and centimeter, 5/3 respectively.
The volume of the block is cubic centimeter. The number of cubic wooden blocks with a side length of centimeter that can be cut from the rectangular block is .
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Respuesta :

Given  : A solid wooden block in the shape of a rectangular prism has a length, width, and height of 3/8 centimeter, 1/8 centimeter, and 5/8 centimeter, respectively.

To Find :The volume of the block

The number of cubic wooden blocks with a side length of 1/8 centimeter that can be cut from the rectangular block  .  

Solution:

Volume of    rectangular prism  = length * width * height

= (3/8) ( 1/8) ( 5/8)

= 15/8³

= 15/512

= 0.029296875   cm³

Volume of  block   =    15/512 cm³ or  0.029296875   cm³

Volume of cube  =  ( edge length )³

=>  cubic wooden blocks volume  = (1/8)³  = 1/512   cm³

The number of cubic wooden blocks that can be cut =   (15/512) / (1 /512)

= 15

Volume of  block   =    15/512 cm³ or  0.029296875   cm³

The number of cubic wooden blocks that can be cut = 15

The volume of the wooden block is 5/64 cubic centimeters

How to determine the volume of the wooden block?

The given parameters are:

Length = 3/8

Width = 1/8

Height = 5/3

The volume of a rectangular prism is:

Volume = Length * Width * Height

So, we have:

Volume = 3/8 * 1/8 * 5/3

Evaluate the product

Volume = 5/64

Hence, the volume of the wooden block is 5/64 cubic centimeters

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