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3 years ago

Priya's rectangular prism measures inches by inches by 2 inch.

Mathematics

1 answer:

dedylja [7]3 years ago

5 0

The number of cubes with edge length ⅕ inch that will fit in the prism is: 1,920 cubes

<h3>Volume of a Rectangular Prism</h3>

Volume of a rectangular prism = length × width × height

<h3>Volume of a Cube</h3>

A cube has equal edge length. Therefore, the volume of a cube = a³, where a is the edge length.

Given the following,

Dimensions of Priya's Rectangular Prism:

2⅖ = 2.4 inches

3⅕ = 3.2 inches

2 inches

Volume of the Rectangular Prism = 2.4 × 3.2 × 2 = 15.36 in.³

Dimension of the cubes:

edge length = ⅕ inch

Volume of the cube = (⅕)³ = 0.008 in.³

The number of ⅕ inch edge cube that will fit in the prism = Volume of Prism / Volume of Cube

= 15.36/0.008 = <em>1,920 cubes </em>

Learn more about Volume of Prism on:

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