Question

Raymond used 42 cubes to build the first layer of a rectangular prism. the edge length of each cube was 1 inch. the finished prism had a total of 7 layers. what is the volume of raymond’s prism in cubic inches?

Answer 1

the volume of rectangular prism is V= L xWxH
each of the 42 cubes has a volume v= 1x1x1=1 inch^3

1 cube -----------------> 1 inches^3
42cubes---------------> 42inches ^3
so the volume of prism is 7 x 42= 429 inches^3
proof
1 first layer----------------> 42 inches^3
7 layers -------------------> 7 x 42= 429 inches^3