Multiply the edge links of a right rectangle prism with a length of 1/2 m width 1/4 m and height of 5/4 m to show. The product is the same as the volume found by packing the prison with 10 unit cubes with an edge length of 1/4 m. What is the volume of the prism?
To find the volume of the prism, we first need to multiply the edge lengths of the prism:
Length = 1/2 m
Width = 1/4 m
Height = 5/4 m
Volume = Length x Width x Height
Volume = (1/2) x (1/4) x (5/4)
Volume = 5/32 cubic meters
Now, let's calculate the volume found by packing the prism with 10 unit cubes with an edge length of 1/4 m:
Volume of 1 unit cube = (1/4)^3 = 1/64 cubic meters
Volume of 10 unit cubes = 10 x (1/64) = 10/64 = 5/32 cubic meters
Since the product of the edge lengths of the prism is equal to the volume of the prism when packed with 10 unit cubes, the volume of the prism is 5/32 cubic meters.