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2 years ago

Please go through step by step so I can also learn the correct way. Will thank the person who goes step by step

Mathematics

1 answer:

juin [17]2 years ago

8 0

Answer:

5.848 in

Step-by-step explanation:

Divide the piece of cardboard into nine equal squares of side z.

The centre square is the base of the cube.

When you cut out the corner squares and fold up the sides, you will have a cube with edge length z.

The cube must have a volume of 200 in³.

V = z³

200 = z³

$z = \sqrt[3]{200}$

$z = \sqrt[3]{8\times25}$

$z = 2\sqrt[3]{25}$

z = 2 × 2.924

z = 5.848 in

The edge length of the cube is 5.848 in.

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Step-by-step explanation:

For every 40 students, you add 7

Ratio:

Students : Students in afterschool programs

40:7

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120:21

160:28

200:35

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2 years ago

What is the value of M?

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The business which offers services needed by the citizens of the community, and which is most profitable. That is the best business.

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2 years ago

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Step-by-step explanation:

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2 years ago

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A sphere has a radius of 11 feet. A second sphere has a radius of 8 feet. what is the difference of the volume of thespheres

Veronika [31]

The difference between the volume of the spheres is 3428.88 cubic feet

Explanation:

Given that one sphere has a radius of 11 feet.

A second sphere has a radius of 8 feet.

Volume of the 1st sphere:

The formula to determine the volume of the sphere is given by

$V=\frac{4}{3} \pi r^3$

Volume of the 1st sphere is given by

$V=\frac{4}{3}(3.14)(11)^3$

$V=\frac{4}{3}(3.14)(1331)$

$V=\frac{16717.36}{3}$

$V=5572.45$

The volume of the 1st sphere is 5572.45 cubic feet.

Volume of the 2nd sphere:

Volume of the 2nd sphere is given by

$V=\frac{4}{3}(3.14)(8)^3$

$V=\frac{4}{3}(3.14)(512)$

$V=\frac{6430.72}{3}$

$V=2143.57$

The volume of the 2nd sphere is 2143.57 cubic feet.

Difference between the volume of the two spheres:

Difference = Volume of the 1st sphere - Volume of the 2nd sphere

= 5572.45 - 2143.57

Difference = 3428.88 cubic feet.

Hence, the difference between the volume of the spheres is 3428.88 cubic feet.

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3 years ago