Homework Help: math

Posted by Cindy on Tuesday, March 6, 2012 at 2:18pm.

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.

math - Steve, Tuesday, March 6, 2012 at 2:58pm
v = 1/3 * s^2 * h
multiply dimensions by 5:
V = 1/3 * (5s)^2 * (5h)
= 1/3 * 25s^2 * 5h
= 1/3 *25s^2 * 5h
= 125 * 1/3 * s^2 * h
= 125v

multiplying the dimensions of a figure by k causes

length to multiply by k
area by k^2
volume by k^3

Answer this Question

Related Questions

geometry - A wooden pyramid, 12 inches tall, has a square base. A carpenter ...
Mathematics - OPQRS is a right pyramid whose base is a square of sides 12cm each...
mathematics - what is the slantheight of the largest square pyramid that can be ...
Geometry - 1 How many faces does a square pyramid have? 2 How many edges does a ...
math - 2 planes parallel to the base of a pyramid cut the pyramid at 1/4 and 2/3...
geometry - The base of a pyramid is a square. The perimeter of the base is 20ft...
geometry - a pyramid has a square base that measures 3 feet on each side. the ...
Math - A cone and a square based pyramid have slant heights of 6 inches . The ...
MATH - E LARGEST PYRAMID IN THE U.S. IS THE LUXUR HOTEL IN VEGAS. THE VOLUME OF ...
math - a square based pyramid has a volume of 1100 mm cubed its height is 15 mm ...

For Further Reading

First Name:
School Subject:
Answer: