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.

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: