Interesting Geometry Probem

I am bulding a sculpture out of rock and need help figuring out how much rock to buy... Here are the figures...

1 ton of 1.5" rock covers 107 sq. ft.

My sculpture will be comprised of 24 layers of rock 2" thick. Each layer will be aproximatly 3ft. by 3ft. How many tons of rock do I need?

How does one figure this answer? Thank you.

It doesn't really sound like you are making a sculpture. I don't know of any sculptures that are made with "layers of rock." It's okay to say you want help with a geometry problem that has been assigned. If my knowledge of sculptures is lacking, you have my apologies.

Since the 2" thick rock has 24 layers, you are looking for a depth of 48". 48" divided by 1.5" = 32 layers of 1.5" stone that are needed.

Since each layer is 9 square feet, multiply the layers by 32. Then divide that by 107 to get the number of tons that will be needed.

I hope this helps. Thanks for asking.

Another way to do this is density.
The density of rock is 1ton/volume where volume is 107*(1.5/12) ft^3.

This density will not vary in the second problem. Calculate out the density.

amount of rock = density*24*(2/12)*3*3

  1. 👍 0
  2. 👎 0
  3. 👁 258

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    Example 1: (Rock A) is thrown against a larger stationary rock(Rock B). considering the following possibilities... 1. Rock A bounces off of Rock B 2. Rock A splits into two pieces off of Rock B 3. Rock A explodes into many pieces

    asked by Cole on November 8, 2013
  2. Earth Science

    1. In the classroom during a visual inspection of a rock, a student recorded four statements about the rock. Which statement about the rock is an observation? (1)The rock formed deep in Earth’s interior. (2)The rock cooled

    asked by Anonymous on June 18, 2008
  3. Science

    Read the following: The movement of tectonic plates buries a rock deep inside Earth. Intense heat and pressure change the mineral composition of the rock and transform it into Rock A. Rock A melts and comes out to the surface of

    asked by Michele on October 6, 2019
  4. earth

    #40 which type of rock is a result of a rock changing by heat and pressure? a. metamorphic rock b. igneous rock c. sedimentary rock d. metal ores

    asked by ? on January 13, 2013
  5. Earth Science

    1.Which statement made by a student after examining a rock specimen is an inference? (1)The rock is of igneous origin. (2)The rock has rounded edges. (3)The rock is light-colored. (4)The rock contains large crystals. Is it (1)?

    asked by Anonymous on June 18, 2008
  6. science

    Which are examples of chemical weathering? Choose the two correct answers. an increase in temperature in daytime causing a rock to crack an insect digging a hole in rock for its home rock breaking apart during a rock slide

    asked by West Point on January 15, 2020
  7. Science: Drifting Continents

    Sandstone is a sedimentary rock. Which of the following characteristics would you look for in a piece of sandstone? A) Rock has sparkly or alternating color layers that are bent or folded B) Rock has layers and smaller pieces of

    asked by TikiKiwi on February 5, 2016
  8. science

    According to the rock cycle, which of the following transitions are possible? Assume an unlimited number of steps. A. An intrusive igneous rock becomes a sedimentary rock. B. A sedimentary rock becomes soil. C. A metamorphic rock

    asked by bianca on January 28, 2009
  9. Physics

    A 56 kg rock climber is climbing a "chimney" between two rock slabs as shown in the figure. The static coefficient of friction between her shoes and the rock is 1.02; between her back and the rock it is 0.70. She has reduced her

    asked by Web on February 10, 2010
  10. Science

    Heat and pressure deep beneath the Earths surface can change any rock into A) chemical rock B) gemstone C) metamorphic rock D) sedimentary rock

    asked by Zack on February 15, 2017

More Similar Questions