11. In an 8 inch square cake pan and a 9 inch square cake pan, what is the difference in volume each pan will hold? Assume each pan is 3 inches high.

Question

richyw · Answer

volume of a rectangular prism is
$$V=lwh$$where l=length, w=width and h=height. This is a square pan so $l=w$. Difference in volume is given by$$\Delta V=|V_2-V_1|$$

richyw · Answer

so calculate each volume ($V_1$ and $V_2$ ) using the first formula. Then calculate the difference using the second formula

anonymous · Answer

lwh=9*8*3=216 then what is next

richyw · Answer

that is incorrect. Remeber you are calculating the volume for TWO pans. Both have square bottoms, one is a 9x9 square, the other is a 8x8 square.

richyw · Answer

so for example your first volume will be $V_1=9*9*3=243$

richyw · Answer

now calculate $V_2$ the volume of the 8 by 8 inch pan...

anonymous · Answer

8*8*3=192

anonymous · Answer

then do you subtract the two 243-192=51