Attributes of a rectangular prism

Question

If an attribute of a rectangular prism is decreased by 1/2, what will the volume be deceased by?

Answer 1

V_old = base area * height

= length * width * height

= L*w*h

is the volume of the original prism

If the length is decreased by 1/2 then:

V = (L- 1/2) w*h = L*w*h - 1/2 * w*h

= V_old - w*h/2

if the width is decreased by 1/2 then

V = l * (w- 1/2) * h =

l*w*h - (l * h/2) =

V_old - l*h/2

find the height is decreased by 1/2 then the pattern shows:

V = V_old = L*w/2

Are you sure you want "DECREASED BY 1/2" instead of "CUT in HALF" or "DIVIDED BY 2"

in that case, then yes, the volume is cut in half

V_old = L*w*h

cutting any dimension in half gives:

V = L*w*h/2 = V_old/2