• nerdyotter
"2. The height of one solid limestone square pyramid is 24 m. A similar solid limestone square pyramid has a height of 30 m. The volume of the larger pyramid is 16,000 m3. Determine each of the following, showing all your work and reasoning. a) The scale factor of the smaller pyramid to the larger pyramid in simplest form. b) The ratio of the area of the base of the smaller pyramid to the larger pyramid. c) Ratio of the volume of the smaller pyramid to the larger. d) The volume of the smaller pyramid." I don't necessarily want an answer, just an explanation. Thank you!
  • Stacey Warren - Expert
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
  • jamiebookeater
I got my questions answered at in under 10 minutes. Go to now for free help!
  • campbell_st
so take the heights and use that as the scaling factor linear scaling factors smallest : largest 24 : 30 or 24/30 simplify this for B you need to know for similar areas, square each term in the ratio so use the simplified linear ratio and square both terms C for Volume you cube the linear ratio so use the simplified linear ratio from A and cube each term. so to find the volume of the smaller pyramid \[\frac{little^3}{larger^3} = \frac{x}{16000}\] just solve for x
  • nerdyotter
@campbell_st I understand section A. If it's not too much of a hassle, could you elaborate on B - D? I just need examples of the equations I'd use to solve the problems, replacing the actual numbers with defined variables.

Looking for something else?

Not the answer you are looking for? Search for more explanations.