Respuesta :
Answer:
328 cubic inches.
Step-by-step explanation:
Given:
Tia made a two layer cake.
Each layer is a rectangular prism that is 2 inch height.
The base of the bottom layer is 100 square inches.
The base of the top layer is 64 square inches.
Question asked:
What is the total volume of the cake?
Solution:
First of all we will find volume of each layer cake and then add both of the volumes:-
Volume of bottom layer cake = Base of the cake [tex]\times[/tex] height
= 100 square inches [tex]\times[/tex] 2 inches
= 200 cubic inches
Similarly:-
Volume of top layer cake = Base of the cake [tex]\times[/tex] height
= 64 square inches [tex]\times[/tex] 2 inches
= 128 cubic inches
Total volume of the cake = Volume of bottom layer + Volume of top layer
= 200 cubic inches + 128 cubic inches
= 328 cubic inches
Thus, the total volume of the cake is 328 cubic inches.
