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3 years ago

10

How many local jurisdictions are there in the state of Maryland? Identify your local jurisdiction.

1 answer:

Tomtit [17]3 years ago

6 0

There are 24 main local jurisdictions in Maryland

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Question:

Use the formulas below to find the surface area and volume of the cube, sphere, and cylinder “ice cubes”.

“Ice cube” measurements:

• Cube: s = 3 cm

• Sphere: r = 1 cm

• Cylinder: r = 2 cm and h= 3 cm

Note: After you find the surface area and volume of each shape, divide the surface area by the volume to find the surface area to volume ratio expressed as a single number. This should go in the last column.

Answer:

<em><u>Cube: </u></em>

Surface area = $6s^2$

Surface area = 6 (3)(3)

Surface area = $54 cm^2$

Volume = $s^3$

Volume = $(3)^3$

Volume = $27 cm^3$

Surface Area to Volume Ratio = $\frac{54}{27}$ = $\frac{2}{1}$ = 2:1

<u><em>Sphere:</em></u>

Surface area = $4\pi r^2$

Surface area = $4 \pi (1)(1)$

Surface area = $12.566cm^2$

Surface area = $13 cm^2$ (rounding off )

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

Volume = $\frac{4}{3} \pi (1)^3$

Volume = $4.188 cm^3$

Volume = $4 cm^3$ (rounding off )

Surface Area to Volume Ratio = $\frac{13}{4}$ = 13 : 1

<em><u>Cylinder:</u></em>

Surface Area $= 2\pi r^2 + 2 \pi rh$

Surface Area = $2\pi (2)^2 + 2 \pi (2)(3)$

Surface Area = $2\pi (4) + 2 \pi (6)$

Surface Area = $8 \pi + 12 \pi$

Surface Area = $20 \pi$

Surface Area = $62.83 cm^2$

Surface area = 63 $cm^2$ (rounding off )

Volume = $\pi r^2 h$

Volume = $\pi (2)^2 (3)$

Volume = $\pi (4) (3)$

Volume = $12 \pi$

Volume = 37 .699

Volume = 38 $cm^3$

Surface Area to Volume Ratio = $\frac{63}{38}$ = 68 : 38

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