Question

3.
The rectangular prism has a volume of 105 m3. This prism is enlarged using a scale factor of 4, then What is the volume of the enlarged prism?

A. 6720 m3
B. 1680 m3
C. 840 m3
D. 420 m3

Answer 1

think of the equation of the volume of a rectangle.

Answer 2

V = L * W * H

Answer 3

if you enlarge it by a factor of 4, what happens to its L, W, and H

Answer 4

volume = lbh = 105 --------(1)
when u enlarge it wid a scalefactor of 4, you're multiplying each dimension wid 3. so,

new volume = (4l)(4b)(4h)
=4^3 lbh
=64 x 105
= ?

Answer 5

Welcome to Openstudy.

Answer 6

is the scale factor a linear scale factor or volume scale factor?

Answer 7

if it is a linear one the use the formula v.s.f=l.s.f^3 then multiply the v.s.f with the volume to get the new volume.