Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

multiple choice the table below shows the density of some common substa…

Question

multiple choice
the table below shows the density of some common substances. use the table to
answer questions 21 through 25.
substance | density (g/cm³) | substance | density (g/cm³)
aluminum (solid) | 2.7 | ice (solid) | 0.93
pyrite (solid) | 5.02 | water (liquid) | 1.00
mercury (liquid) | 13.55 | zinc (solid) | 7.13
silver (solid) | 10.50 | wood (oak) | 0.85

  1. a cube has a density of 2.7 g/cm³. what substance is the cube made of?

a. aluminum
b. ice
c. pyrite
d. wood

  1. what substance has a density more than 13 times greater than water?

a. ice
b. silver
c. aluminum
d. mercury

  1. why will ice float on top of liquid water?

a. ice has a lower density than water.
b. ice has a higher density than water.
c. ice is a solid.
d. ice is colder than water.

  1. what is the density of oak wood?

a. 85 g/cm³
b. 5.02 g/cm³
c. 0.85 g/cm³
d. 0.93 g/cm³

  1. what is the densest solid shown in the table?

a. mercury
b. silver
c. zinc
d. pyrite

Explanation:

Response
Question 21
Brief Explanations

We look at the density values in the table. The cube has a density of \(2.7\space g/cm^3\). From the table, Aluminum (solid) has a density of \(2.7\space g/cm^3\), ice has \(0.93\space g/cm^3\), pyrite has \(5.02\space g/cm^3\), and wood has \(0.85\space g/cm^3\). So the substance with density \(2.7\space g/cm^3\) is aluminum.

Brief Explanations

First, find the density of water which is \(1.00\space g/cm^3\). 13 times the density of water is \(13\times1.00 = 13.00\space g/cm^3\). Now check the densities: ice is \(0.93\), silver is \(10.50\), aluminum is \(2.7\), mercury is \(13.55\). Mercury's density (\(13.55\)) is more than \(13\) times water's density (\(13.00\)).

Brief Explanations

Objects float on a liquid if their density is less than the liquid's density. Ice has a density of \(0.93\space g/cm^3\) and water (liquid) has \(1.00\space g/cm^3\). So ice has a lower density than water, which is why it floats.

Answer:

a. aluminum

Question 22