the volume, v, of a rectangular prism is determined using the formula ( v = lwh ), where ( l ) is the…

the volume, v, of a rectangular prism is determined using the formula ( v = lwh ), where ( l ) is the length, ( w ) is the width, and ( h ) is the height of the prism. using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? round to the nearest tenth. \n- 0.2 inches \n- 4.5 inches \n- 46.1 inches \n- 414.7 inches

the volume, v, of a rectangular prism is determined using the formula ( v = lwh ), where ( l ) is the length, ( w ) is the width, and ( h ) is the height of the prism. using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? round to the nearest tenth. \n- 0.2 inches \n- 4.5 inches \n- 46.1 inches \n- 414.7 inches

Answer

Explanation:

Step1: Recall the formula for volume

The formula for the volume ( V ) of a rectangular prism is ( V = lwh ), where ( l ) is length, ( w ) is width, and ( h ) is height. We need to solve for ( w ), so we can rearrange the formula. Dividing both sides of the equation by ( lh ), we get ( w=\frac{V}{lh} ).

Step2: Substitute the given values

We are given that ( V = 138.24 ) cubic inches, ( l = 3.2 ) inches, and ( h = 9.6 ) inches. Substituting these values into the formula for ( w ), we have ( w=\frac{138.24}{3.2\times9.6} ).

First, calculate the denominator: ( 3.2\times9.6 = 30.72 ).

Then, divide the numerator by the denominator: ( w=\frac{138.24}{30.72}=4.5 ).

Answer:

B. 4.5 inches