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?
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=7122L
L=0.105 inches
The answer for the length of the pan is 0.105 inches.
Answer: The length of the pan= 10 inches.
Step-by-step explanation:
We know that the volume of rectangular prism is given by :-
\(\text{Volume}=length\times width\times height\)
Let l be the length of the rectangular prism.
The volume of lemon bar is given by :-
\(150=l\times7\frac{1}{2}\times2\\\Rightarrow\ 150=l\times\frac{15}{2}\times2\\\Rightarrow\ l=\frac{150}{15}\\\\\Rightarrow\ l=10\ in\)
Hence, the length of the pan= 10 inches.