The volume of a triangular prism is 20 cubic mm. If the dimensions were doubled, what would the new

volume be?

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