Question

Yuri bakes lemon bars in a pan shaped like a right rectangular prism. The volume of the pan is 150 in³. The width of the pan is 712 in., and its height is 2 in. What is the length of the pan?

Answer 1

Answer: The length of the pan= 10 inches.

Explanation:

We know that the volume of rectangular prism is given by :-

`\text{Volume}=length* width* height`

Let l be the length of the rectangular prism.

The volume of lemon bar is given by :-

`150=l*7(1)/(2)*2\\\Rightarrow\ 150=l*(15)/(2)*2\\\Rightarrow\ l=(150)/(15)\\\\\Rightarrow\ l=10\ in`

Hence, the length of the pan= 10 inches.

Answer 2

The formula in solving volume for a rectangular prism is V=WHL where w=width, h=height, l=length and v=volume. Values are given in the problem such as below:
V=150 in³
W=712 in
H=2 in
Then, we can solve for L such as:
150=712*2*L
L=0.105 inches
The answer for the length of the pan is 0.105 inches.