Question

Win bakes fruit bars in a pan shaped like a rectangular prism.

The volume of the pan is 120 in³.

The length of the pan is 8 in., and its height is 112 in.

What is the width of the pan?

I'm really bad at these. ;-;

Answer 1

Length = 8 in
height = 1 1/2 inch = 3/2 inch
width = w inch

Volume = length * width * height
⇒ 120 = 8 * w * 3/2
⇒ 120 = 12w
⇒ w = 120/12
⇒ w = 10 inch

Width of the pan is 10 inch

Hope it helps!

Answer 2

width of the pan is, 10 in.

Explanation:

Volume of a pan(V) is given by:

`V = lwh` ....[1]

where

l is the length , w is the width and h is the height of the pan.

As per the statement:

The volume of the pan is 120 in³.

The length of the pan is 8 in., and its height is
`1(1)/(2)` in.

⇒V = 120 in³., l = 8 in and h =
`1(1)/(2) = 1.5` in.

Substitute these in [1]

`120 = 8 \cdot w \cdot 1.5`

⇒
`120 = 12w`

Divide both sides by 12 we have;

w = 10 in.

Therefore, the width of the pan is, 10 in.