Question

Which right rectangular prism does not have a volume of 48 cubic centimeters?A. l = 4 centimeters, w = 3 centimeters, h = 4 centimeters B. l = 12 centimeters, w = 2 centimeters, h = 2 centimeters C. l = 2 centimeters, w = 4 centimeters, h = 6 centimeters D. l = 3 centimeters, w = 4 centimeters, h = 6 centimeters

Answer 1

l = 3 centimeters, w = 4 centimeters, h = 6 centimeters does not have a volume of 48 cubic centimeters.

Answer 2

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.

Explanation:

Formula

`Volume\ of\ rectangular\ prism = Length* Breadth* Height`

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

`Volume\ of\ rectangular\ prism = 4* 3* 4`

= 48 cm³

Second Case

L= 12 centimeters, B = 2 centimeters, H = 2 centimeters

Putting the values in the formula

`Volume\ of\ rectangular\ prism = 12* 2* 2`

= 48 cm³

Third Case

L = 2 centimeters, B = 4 centimeters, H = 6 centimeters

Putting the values in the formula

`Volume\ of\ rectangular\ prism = 2* 4* 6`

= 48 cm³

Fourth Case

l = 3 centimeters, w = 4 centimeters, h = 6 centimeters

Putting the values in the formula

`Volume\ of\ rectangular\ prism = 3* 4* 6`

= 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.