Two students are given cubic boxes, measuring 10 cm on a side. Robert puts a single glass marble with a
diameter of 10 cm in the box. Susan puts 1,000 1-cm glass marbles in her box.

1. Whose box has more empty space? Explain.

Answers

Answer 1

Answer:

Both boxes have the same amount of empty space

Explanation:

Given

Cube Box

[tex]Length = 10cm[/tex]

Robert:

1 glass marble

[tex]Diameter = 10cm[/tex]

Susan:

1000 glass marble

[tex]Diameter = 1cm[/tex]

Required

Whose box has more empty space?

First, we need to calculate the volume of the cubic box.

[tex]Volume = Length^3[/tex]

Substitute 10cm for Length

[tex]Volume = 10^3[/tex]

[tex]Volume = 1000cm^3[/tex]

Next, calculate the volume of Robert's glass

Volume is calculated as:

[tex]Volume = \frac{4}{3}\pi r^3[/tex] ---- Volume of a sphere

Where

r = radius

[tex]r = \frac{1}{2} * Diameter[/tex]

[tex]Diameter = 10cm[/tex] --- Given

Substitute 10 for diameter

[tex]r = \frac{1}{2} * 10cm[/tex]

[tex]r = 5cm[/tex]

So:

[tex]Volume = \frac{4}{3}\pi r^3[/tex]

[tex]Volume = \frac{4}{3} * \frac{22}{7} * 5^3[/tex]

[tex]Volume = \frac{4}{3} * \frac{22}{7} * 125[/tex]

[tex]Volume = 523.8cm^3[/tex]

Next, we determine the volume of Susan's 1000 glasses

Volume is calculated as:

[tex]Volume = \frac{4}{3}\pi r^3[/tex] ---- Volume of a sphere

Where

r = radius

[tex]r = \frac{1}{2} * Diameter[/tex]

[tex]Diameter = 1cm[/tex] --- Given

Substitute 1cm for diameter

[tex]r = \frac{1}{2} * 1cm[/tex]

[tex]r = 0.5cm[/tex]

Substitute 0.5cm for radius in [tex]Volume = \frac{4}{3}\pi r^3[/tex]

[tex]Volume = \frac{4}{3} * \frac{22}{7} * 0.5^3[/tex]

[tex]Volume = \frac{4}{3} * \frac{22}{7} * 0.125[/tex]

[tex]Volume = 0.5238[/tex]

But there are 1000 glasses.

So, the volume of 1000 glasses is:

[tex]Volume = 0.5238 * 1000[/tex]

[tex]Volume = 523.8cm^3[/tex]

--------------------------------------------------------------------------------------------------------------

For Robert:

[tex]Volume = 523.8cm^3[/tex]

For Susan:

[tex]Volume = 523.8cm^3[/tex]

Since, they have the same volume.

Both boxes have the same amount of empty space

Answer 2

From the dimensions of glass marble for robert and susan, we can say that; none of the given boxes have more empty space.

We are told that the cubic boxes have a measure of 10 cm for its' sides.

Formula for volume of a cube is;

V = lwh

where;

l is length

w is width

h is height

Thus; V = 10 × 10 × 10

V = 1000 cm³

For Robert;

We are told that he puts a glass marble with a diameter of 10 cm in the box. The glass is usually spherical in shape and the volume of a sphere is;

V = ⁴/₃πr³

Thus;

V_rob = ⁴/₃π × (10/2)³

V_rob = 523.6 cm³

Volume left for rob = 1000 - 523.6

Volume of empty space left for rob = 476.4 cm³

For Susan;

V = ⁴/₃πr³

Thus;

V_sus = ⁴/₃π × (1/2)³ × 1000

V_sus = 523.6 cm³

Volume left for susan = 1000 - 523.6

Volume of empty space left for susan = 476.4 cm³

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Answers

Answer:

false

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Answers

Answer:

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Answers

Answer:

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Explanation:


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Answers

Answer:

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Answers

Answer:

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Answer:

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Explanation

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Answer:

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Explanation:

copied directly from edmentum/plato

Answer:

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Explanation:

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Explanation:

Answer:

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Answer/Explanation:

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Answers

Answer:

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Explanation:

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Answers

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Answers

Answer:

C

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Answers

Answer:

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Answer:

Polysaccharides from cell walls make up the fiber humans eat, while monosaccharides provide the sweetness in foods. As humans eat, chewing breaks down polysaccharides into smaller particles that eventually, through digestion, yield up the simple monosaccharides that can pass into the bloodstream.

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A fungus cell is a eukaryotes so it’s false

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Answer:

The correct words that film in the blanks are;

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Hydrogen bonds

Heat

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Solvent

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Water is a highly polar molecule. Its polarity allows it to form strong intermolecular hydrogen bonds which accounts for the forces of cohesion in the water.

The hydrogen bonds form and break with evolution of heat hence accounting for the role of water in temperature regulation.

Ice is less dense than water due to spaces in the solid. Water is regarded as a universal solvent for polar solutes. Blood and other aqueous body clouds usually contains many dissolved solutes.

Which is it?? DNA, RNA, or Both??
1. Single-Stranded
2. Double-Stranded
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4. Thymine
5. Uracil
6. Double Helix

Answers

1. RNA is single stranded

2. DNA is double stranded

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Explanation:

A eukaryotic cell contains membrane-bound organelles such as a nucleus, mitochondria, and an endoplasmic reticulum. Organisms based on the eukaryotic cell include protozoa, fungi, plants, and animals. These organisms are grouped into the biological domain Eukaryota.

Any organism which has a closed membrane for a nucleas is a eukaryotic cell.

(organisms who dont have a nuclear memebrane is called prokaryotic cell)

We have eukaryotic cells as we have nuclear membrane but a bactaria(a prokaryotic cell) doesnt have a nuclear memebrane and all of its nuclear substances are floating insdie it getting jumbled up.

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Answers

Answer:

by signals that the nervous system sends to the brain

Explanation:

Scientists theorize that oil and natural gas formed from the remains of microscopic manne organisms called
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Answers

It would be D. Fossils fuels.
People born remains of those organisms to form fossil fuels for energy.

Answer: It's C

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EASY 10 POINTS

Why do plant cells need chloroplasts?

Answers

Answer:

Chloroplasts are organelles found in plant cells and eukaryotic algae that conduct photosynthesis. Chloroplasts absorb sunlight and use it in conjunction with water and carbon dioxide gas to produce food for the plant. In this respect they are similar to mitochondria, but are found only in plants and protista.

Explanation:

mark BRAINLIST!

thx

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