Question

A rectangular prism with length \[\ell\], width \[w\], and height h has a volume of \[\ell w h\]. what is the volume of a prism which has a base of 5m by 3m, and a height of 4 m?

Answer 1

To find the volume of the prism with given dimensions, we use the formula V = lwh. By substituting the dimensions 5m, 3m, and 4m, the volume of the prism is calculated to be 60 cubic meters.

Step-by-step explanation:

The volume of a rectangular prism is found by multiplying the length (ℓ), width (w), and height (h) of the prism, which yields the formula V = ℓwh. To calculate the volume of a prism with a base measuring 5 meters by 3 meters and a height of 4 meters, we use the formula by substituting the given dimensions:

V = 5m × 3m × 4m

The calculation is as follows:

V = 60 m³

Therefore, the volume of the prism is 60 cubic meters.