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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