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Nata [24]
3 years ago
6

Calculate the surface area of a solid box in the shape of a cube with side length 6cm.

Mathematics
1 answer:
eduard3 years ago
3 0

Answer:

216 cm^2

Step-by-step explanation:

A cube has 6 congruent, square faces.

Each face has side length of 6 cm.

The total surface area is the sum of the surface areas of the 6 faces, but since all faces are congruent, the total surface area is

SA = 6s^2

where s = side length

SA = 6 * (6 cm)^2

SA = 6 * 36 cm^2

SA = 216 cm^2

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Stephan is planning a hiking trip at Kings Canyon National Park. He plans to hike 14 miles every 2 days. If he hikes 42 miles, h
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Kristen earns $13.50 for each hour she works. On Monday she worked 4 hours. She also worked Tuesday. If she earned a total of $1
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8 0
3 years ago
The circle with center O has a minor arc BSA with a length of
tangare [24]

Answer:

D. \frac{27\pi}{2} inches.

Step-by-step explanation:

We have been given that the circle with center O has a minor arc BSA with a length of 3\pi^{2} inches. The central angle is 40°.

To find the circumference of circle we will use formula:

\frac{\text{Central angle}}{2\pi}=\frac{\text{Arc length}}{2\pi r}, where 2\pi= measure of 360 degrees in radians and 2\pi r= circumference of circle.  

Let us convert measure of central angle into radians.                        

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Upon substituting our given value in the formula we will get,        

\frac{\frac{2\pi}{9}}{2\pi}=\frac{\frac{3\pi}{2}}{2\pi r}

\frac{2\pi}{18\pi}=\frac{3\pi}{4\pi r}    

\frac{1}{9}=\frac{3}{4r}      

Cross multiplying we will get,      

4r=27  

r=\frac{27}{4}

Hence, the radius of our circle is 27/4 inches.  

Since the circumference of circle is 2\pi r. Upon substituting  r=\frac{27}{4} we will get,

2\pi r=2\pi* \frac{27}{4}=\frac{27\pi}{2}

Therefore, circumference of our given circle will be \frac{27\pi}{2} inches and option D is the correct choice.

6 0
3 years ago
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