checking for understanding\nbacteria are grown in petri dishes filled with agar. draw bacteria within each…

checking for understanding\nbacteria are grown in petri dishes filled with agar. draw bacteria within each petri dish that matches the density description.\nhigh density\nmedium density\nlow density\nrectangular prisms\ncomplete the missing sections within each prism. to calculate the volume of prism 1, multiply the length x width x height. for prism 2, use the known values of the mass and density to calculate the volume. round all answers to the nearest tenth.\nprism 1\nwidth (0.76 cm)\nheight (1 cm)\nmass: 25 g\nvolume:\ndensity:\nlength (2.7 cm)\nprism 2\nmass: 12 g\nvolume:\ndensity: 9.2 g/cm³\nprism 3\nmass:\nvolume: 15.7 cm³\ndensity: 8.7 g/cm³\nliquid density\ndirections\nstep 1: calculate the density of the six liquids. do not round the final answer.\n|liquid|color|mass|volume|density|\n|--|--|--|--|--|\n|liquid a|blue|50 g|50 ml|\n|liquid b|orange|63.5 g|50 ml|\n|liquid c|green|59.5 g|50 ml|\n|liquid d|red|82.5 g|50 ml|\n|liquid e|pink|40 g|50 ml|\n|liquid f|purple|48 g|50 ml|\nstep 2: use the data from the table to label and color the layers in the density column jar. layer c has been labeled for you. *hint: less dense objects float on top of more dense objects.\ndensity column\nliquid c (1.19 g/ml)
Answer
Explanation:
Prism 1:
Step1: Calculate volume
Use the formula $V = l\times w\times h$. Given $l = 2.7$ cm, $w=0.76$ cm and $h = 1$ cm. $V_1=2.7\times0.76\times1 = 2.052\approx2.1$ $cm^3$
Step2: Calculate density
Use the formula $\rho=\frac{m}{V}$. Given $m = 25$ g and $V\approx2.1$ $cm^3$. $\rho_1=\frac{25}{2.1}\approx11.9$ $g/cm^3$
Prism 2:
Step1: Calculate volume
Use the formula $V=\frac{m}{\rho}$. Given $m = 12$ g and $\rho = 9.2$ $g/cm^3$. $V_2=\frac{12}{9.2}\approx1.3$ $cm^3$
Prism 3:
Step1: Calculate mass
Use the formula $m=\rho\times V$. Given $\rho = 8.7$ $g/cm^3$ and $V = 15.7$ $cm^3$. $m_3=8.7\times15.7 = 136.59\approx136.6$ g
Liquid Densities:
Liquid A
Use the formula $\rho=\frac{m}{V}$. Given $m = 50$ g and $V = 50$ mL. $\rho_A=\frac{50}{50}=1$ $g/mL$
Liquid B
Use the formula $\rho=\frac{m}{V}$. Given $m = 63.5$ g and $V = 50$ mL. $\rho_B=\frac{63.5}{50}=1.27$ $g/mL$
Liquid C
Given $\rho_C = 1.19$ $g/mL$
Liquid D
Use the formula $\rho=\frac{m}{V}$. Given $m = 82.5$ g and $V = 50$ mL. $\rho_D=\frac{82.5}{50}=1.65$ $g/mL$
Liquid E
Use the formula $\rho=\frac{m}{V}$. Given $m = 40$ g and $V = 50$ mL. $\rho_E=\frac{40}{50}=0.8$ $g/mL$
Liquid F
Use the formula $\rho=\frac{m}{V}$. Given $m = 48$ g and $V = 50$ mL. $\rho_F=\frac{48}{50}=0.96$ $g/mL$
Answer:
Prism 1 Volume: $2.1$ $cm^3$, Prism 1 Density: $11.9$ $g/cm^3$, Prism 2 Volume: $1.3$ $cm^3$, Prism 3 Mass: $136.6$ g, Liquid A Density: $1$ $g/mL$, Liquid B Density: $1.27$ $g/mL$, Liquid C Density: $1.19$ $g/mL$, Liquid D Density: $1.65$ $g/mL$, Liquid E Density: $0.8$ $g/mL$, Liquid F Density: $0.96$ $g/mL$