Answer:
[tex]3968 ft^3[/tex]
Step-by-step explanation:
To calculate the volume of a prism, the dimensions needed are length, breadth and height.
The volume of a prism is:
V = L * B * H
Therefore, if all the dimensions are increased by a scale factor of 4, then, the new dimensions will be 4L, 4B and 4H.
The volume of the former prism was:
[tex]V = L*B*H = 62 ft^3[/tex]
Therefore, the volume of the new prism is:
[tex]4L * 4B * 4H = 64 (L * B * H) = 64 * 62 = 3968 ft^3[/tex]
