6. Find the similarity ratio, the ratio of the areas and the ratio of the volumes for the two pyramids with an equilateral triangle as the base if: $6\sqrt{3}$ 4 m $V_2 = 192 m^3$
Added by Christian M.
Close
Step 1
The smaller pyramid has a height of 6√3 and the larger pyramid has a height of 12√3. So the similarity ratio is 6√3 / 12√3 = 1/2. Show more…
Show all steps
Your feedback will help us improve your experience
James Kiss and 89 other Geometry educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
1. Two similar pyramids have corresponding dimensions in the ratio 2:5. Find the ratio of their volumes. 2. Two similar pyramids have their surface areas in the ratio 25:36. If the volume of the smaller pyramid is 500 cm3, find the volume of the larger pyramid. 3. Two similar pyramids have their surface areas in the ratio 4:9. If the volume of the smaller pyramid is 16 cm3, find the volume of the larger pyramid.
James K.
The two rectangular pyramids in the figure below are similar. In finding each of the following ratios, compare the first pyramid with CAN'T COPY THE FIGURE the second. Express each ratio as a common fraction in simplest terms. Find the ratio of the volumes of the pyramids.
Geometric Solids
Similar Solids
The two rectangular pyramids in the figure below are similar. In finding each of the following ratios, compare the first pyramid with CAN'T COPY THE FIGURE the second. Express each ratio as a common fraction in simplest terms. Find the ratio of the perimeters of the bases.
Recommended Textbooks
Geometry A Common Core Curriculum
Geometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD