Adam cuts the cake into equal-sized pieces. Each piece has a length of 5 centimeters, a width of 5 centimeters, and a height of 3 centimeters.
How many pieces of cake does Adam have? I stated 75, I used the volume equation l x w x h.
How big is the cake?
To find the number of pieces of cake that Adam has, you first need to calculate the volume of the whole cake and then divide it by the volume of each piece.
The volume of a rectangular prism (like the cake) is given by the formula:
Volume = Length x Width x Height
In this case, the length is 5 centimeters, the width is 5 centimeters, and the height is 3 centimeters. So, we can substitute these values into the formula:
Volume = 5 cm x 5 cm x 3 cm
Volume = 75 cm³
Now that we know the volume of the whole cake is 75 cm³, we can divide it by the volume of each piece, which is also 75 cm³ because all the pieces are the same size:
Number of pieces = Volume of whole cake / Volume of each piece
Number of pieces = 75 cm³ / 75 cm³
Number of pieces = 1
Therefore, Adam has only one piece of cake, not 75 pieces as you stated.