Arectangular prism has a volume of 960 cubic centimeters. what would be the volume of a rectangular pyramid with the same measurements for its base and height?

plz ! will mark brainliest if answer has explanation!

  320 cubic centimeters

Step-by-step explanation:

The formula for the volume of a prism with base area B and height h is ...

  V = Bh

The formula for the volume of a pyramid or cone with base area B and height h is ...

  V = (1/3)Bh

That is, a pyramid or cone with the same base area and height as a prism will have 1/3 the volume.

  1/3 · 960 cm³ = 320 cm³ . . . . the volume of your pyramid

Comment on the volume formulas

You will note that the shape of the base is irrelevant. For the 1/3 factor to apply, all that matters is that the sides of it come linearly to a point at the height h. That is, the dimensions of a cross section parallel to the base are proportional to the distance from the peak to the cross section.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

y-y1=4(x-x1)

step-by-step explanation:

this is point-slope form since you only have 4 as the slope it goes in place of m

hope this : )