Respuesta :
Answer:
The right rectangular prism with l = 3 centimeters, w = 4 centimeters, h = 6 centimeters does not have a volume of 48 cubic centimeters .
Option (D) is correct.
Step-by-step explanation:
Formula
[tex]Volume\ of\ rectangular\ prism = Length\times Breadth\times Height[/tex]
As given
Volume of the rectangular prism be 48 cubic centimeters.
First Case
L = 4 centimeters, B = 3 centimeters, H = 4 centimeters
Putting the values in the formula
[tex]Volume\ of\ rectangular\ prism = 4\times 3\times 4[/tex]
= 48 cm³
Second Case
L= 12 centimeters, B = 2 centimeters, H = 2 centimeters
Putting the values in the formula
[tex]Volume\ of\ rectangular\ prism = 12\times 2\times 2[/tex]
= 48 cm³
Third Case
L = 2 centimeters, B = 4 centimeters, H = 6 centimeters
Putting the values in the formula
[tex]Volume\ of\ rectangular\ prism = 2\times 4\times 6[/tex]
= 48 cm³
Fourth Case
l = 3 centimeters, w = 4 centimeters, h = 6 centimeters
Putting the values in the formula
[tex]Volume\ of\ rectangular\ prism = 3\times 4\times 6[/tex]
= 72 cm³
Therefore the right rectangular prism with l = 3 centimeters, w = 4 centimeters, h = 6 centimeters does not have a volume of 48 cubic centimeters .
Option (D) is correct.
Answer:
l = 3 centimeters, w = 4 centimeters, h = 6 centimeters does not have a volume of 48 cubic centimeters.
