# Geometry

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How does the volume of a rectangular prism change if the width is reduced to 1/10 of its original size, the height is reduced to 1/4 of its original size, and the length is reduced to 2/3 of its original size?

A. V=1/120lwh
B. V=1/60lwh
C. V= 2/3lwh
D. V=3/4lwh

• Geometry -

Is it B?

• Geometry -

V = L w H
new V = (2/3)L * (1/10) w * (1/4) H
= (2/120) LwH = (1/60) LwH

• Geometry -

Yes

• Geometry -

original dimensions: l, w, h
volume = lwh

new length --- 2l/3
new width ---- w/10
new height = h/4
new volume + (2l/3)(h/4)(w/10)
= 2 lwh/120
= lwh/60 or (1/60)lwh

so , yes, it is B

• Geometry -

Find the volume of the square pyramid. Round your answer to the nearest hundredth.

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