Posted by Kayla on Thursday, March 8, 2012 at 12:45pm.
A wooden pyramid, 12 inches tall, has a square base. A carpenter increases the dimensions of the wooden pyramid by a factor of 5 and makes a larger pyramid with the new dimensions. Describe in complete sentences the ratio of the volumes of the two pyramids.

geometry  Steve, Thursday, March 8, 2012 at 3:22pm
the actual values of the dimensions make no difference.
If the original base sides are s, the height is h, then the volume v is
v = 1/3 s^2 * h
now, multiply each dimension by 5 and your new volume V is
V = 1/3 (5s)^2 * (5h)
= 1/3 * 25s^2 * 5h
= 125 * 1/3 s^2 * h
= 125v
or, 5^3 * v
scaling the dimensions of a figure by a factor of n means
area is scaled by n^2
volume is scaled by n^3
Answer This Question
Related Questions
 math  A wooden pyramid, 12 inches tall, has a square base. A carpenter ...
 Math  Carol is going to make a wooden pyramid and then paint it. She drew the ...
 Mathematics  OPQRS is a right pyramid whose base is a square of sides 12cm each...
 alegebra1  The base edge of a square pyramid is 30 cm. The pyramid is 6 cm tall...
 Maths  OPQRS is a right pyramid whose base is a square of sides 12cm each. ...
 Maths  OPQRS is a right pyramid whose base is a square of sides 12cm each. ...
 Geometry  A Pyramid has a height of 6cm and base edge 8cm. A similar pyramid ...
 math  a square based pyramid has a volume of 1100 mm cubed its height is 15 mm ...
 geometry  The base of a pyramid is a square. The perimeter of the base is 20ft...
 MATH  A GREAT PYRAMID HAS A SQUARE BASE 230M ON EACH SIDE. THE 4 TRIANGULAR ...
More Related Questions