Question

A prism is completely filled with 270 cubes that have edge length of 13
in.

What is the volume of the prism?

Answer 1

Answer:

593190 cubic inches

Step-by-step explanation:

to solve this equation you must first find out the volume of one cube

that can be modeled by 13*13*13 or more simply 13^3

13^3 = 2197

then you multiply that to 270

2197 * 270 = 593190

that is your answer

Answer 2

Answer: 593190 in^3

Step-by-Step Explanation:

No. of Cubes = 270
Edge Length (a) = 13 in
Volume = a^3

Therefore, Volume of one Cube :-
= a^3
= 13^3
= 13 * 13 * 13
= 2197

Therefore, Volume of Prism :-
= Volume of Cube * No. of Cubes
= 2197 * 270
= 593190

Volume of Cube = 2197 in^3
Volume of Prism = 593190 in^3