A rectangular prism is made of 81 unit cubes. The prism is 9 unit cubes long.

Choose two sets of numbers that could be the width and the height of the rectangular prism.

A width: 3 unit cubes

height 3 unit cubes

Width 6 unit cubes

height 12 unit cubes

Cwidth: unit cubes

height 7 unit cube

width: 18 unit cubes

height 4 unit cubes

OE with 24 unit cubes

height 3 unit cubes

Respuesta :

Answer:

A width: 3 unit cubes

height 3 unit cubes

Step-by-step explanation:

Volume of rectangular prism = 81 unit cubes

[tex]l[/tex] = Length of rectangular prism = 9 unit cubes

[tex]w[/tex] = Width of rectangular prism

[tex]h[/tex] = Height of rectangular prism

Volume of a rectangular prism is given by

[tex]V=lwh\\\Rightarrow 81=9wh\\\Rightarrow wh=\dfrac{81}{9}\\\Rightarrow wh=9[/tex]

The product of width and height must be 9 so from the options this is only possible when width and height both are 3 units.

So, the width is 3 unit cubes and the height is 3 unit cubes.