Answer:
Therefore, after each dimension of the prism is multiplied by 3, the volume of the prism increases from 10 ft³ to 270 ft³.
Step-by-step explanation:
iven dimensions of the prism:
- Length = 1 ft
- Width = 5 ft
- Height = 2 ft
To find the volume of the prism, we use the formula for the volume of a rectangular prism:
Substitute the given dimensions:
When each dimension is multiplied by 3:
New dimensions:
- Length = 1 ft * 3 = 3 ft
- Width = 5 ft * 3 = 15 ft
- Height = 2 ft * 3 = 6 ft
New volume:
Substitute the new dimensions:
Therefore, after each dimension of the prism is multiplied by 3, the volume of the prism increases from 10 ft³ to 270 ft³.