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

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

$Volume\ of\ rectangular\ prism = Length\times Breadth\times Height$

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

$Volume\ of\ rectangular\ prism = 4\times 3\times 4$

                                                           = 48 cm³

Second Case

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

Putting the values in the formula

$Volume\ of\ rectangular\ prism = 12\times 2\times 2$

                                                           = 48 cm³

Third Case

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

Putting the values in the formula

$Volume\ of\ rectangular\ prism = 2\times 4\times 6$

                                                           = 48 cm³

Fourth Case

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

Putting the values in the formula

$Volume\ of\ rectangular\ prism = 3\times 4\times 6$

                                                           = 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.