Answer:
The new volume will be 160 mm^3
Step-by-step explanation:
The volume of a triangular prism can be calculated by multiplying the area of the triangular base by the height.
Let’s say we have the base with dimensions a and b, while the height can be h
The volume can be calculated as
V = 1/2 * a * b * h
Now , to answer this question, we shall be choosing arbitrary lengths for a, b and h. Whatever length we shall be choosing , we should make sure that they must be equal to 20 mm^3.
Let’s say we have a as 2mm , b as 4 mm and H as 5 mm
Plugging these into the equation, we surely have our volume as 20 mm^3
Now let’s double these dimensions. Our new dimensions become , 4mm by 8mm by 10mm
Plugging these new values into the equation, we have;
1/2 * 4 * 8 * 10 = 160 mm^3
Thus, our volume is expected to be increased by a factor of 8
