Math, asked by HIRESHYADAV1400, 1 month ago

A solid wooden block in the shape of a rectangular prism has a length, width, and height of centimeter, centimeter, and centimeter, 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 .

Answers

Answered by amitnrw
17

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

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Answered by TheDiamondBoyy
22

Given:-

  • A solid wooden block in the shape of a rectangular prism
  • length = 3/8
  • width = 1/8
  • height = 5/8

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  .  

step-by-step solution:-

Volume of rectangular prism  = l × b × h

→ (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  =  ( a )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

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