in a 9 in. sq. cake pan and 1 10 in. sq. cake pan, what is the difference in volume each pan will hold? assume each pan is 3 in. high. show step by step work and correct units with solution.
9 * 9 * 3 = 243
10 * 10 * 3 = 300
300 -243 = 57 in^3
i thought that was how you solve it. thanks!
To find the difference in volume between the two pans, we need to calculate the volume of each pan and then subtract one from the other.
Let's start by calculating the volume of the 9 in. square cake pan:
Since the pan is 3 in. high, the volume can be calculated by multiplying the area of the base (9 in. x 9 in.) by the height (3 in.):
Volume of the 9 in. square pan = 9 in. x 9 in. x 3 in.
= 243 in³
Next, let's calculate the volume of the 10 in. square cake pan:
Using the same method as before, the volume can be calculated by multiplying the area of the base (10 in. x 10 in.) by the height (3 in.):
Volume of the 10 in. square pan = 10 in. x 10 in. x 3 in.
= 300 in³
Now, we can find the difference in volume by subtracting the volume of the 9 in. square pan from the volume of the 10 in. square pan:
Difference in volume = Volume of the 10 in. square pan - Volume of the 9 in. square pan
= 300 in³ - 243 in³
= 57 in³
Therefore, the 10 in. square pan can hold 57 cubic inches more than the 9 in. square pan.