an action hero needs to replace a valuable artifact with a pile of sand of equal mass within 5 seconds, otherwise a trapdoor opens and she falls into a pit of slimy slugs. The artifact and two of its measurements are shown in the following image
dimensions of said image below-
The picture is of an easter island statue
9.5 cm width
38.1 height
She assumes the artifact is made of limestone, which has a density of 2.71 g/cm^3. She plans to quickly replace the artifact with a pile of sand of equal mass. Sand has a density of 1.6 g/cm^3.
What common three-dimensional figure best models the artifact?
I would say rectangular prism?
B.To the nearest tenth of a cm^3, what is the volume of the three-dimensional figure you chose?
Use your answer to part B and the formula density= mass/volume to estimate the mass of the artifact
Estimate the volume of the sand she should use to replace the artifact
To determine the common three-dimensional figure that best models the artifact, let's analyze the given measurements: 9.5 cm width and 38.1 cm height.
Since we have two measurements, "width" and "height," and there is no information mentioned about the depth or thickness, it is safe to assume that the artifact is a rectangular prism. So your choice of a rectangular prism is correct.
The volume of a rectangular prism can be calculated using the formula:
Volume = length x width x height.
However, the length measurement is not provided in the question. Without the length measurement, we cannot accurately calculate the volume of the artifact or determine its mass. So, unfortunately, we cannot answer part B of the question.
As for part C, estimating the volume of the sand she should use to replace the artifact, we can still use the given densities. The density of the limestone artifact is 2.71 g/cm^3, while the density of sand is 1.6 g/cm^3.
The equation for density is:
Density = mass / volume.
Since the density and volume of the artifact are not given, we cannot directly calculate its mass. Therefore, we cannot estimate the volume of sand needed to replace the artifact either.
To solve this problem accurately, we would need the missing measurement of the artifact, such as its length, thickness, or density.