Question

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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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Answer 1

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