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ozzi
4 years ago
11

Han has 10 cubes, each 5 inches on a side. A) Find the total volume of Han’s cubes. Express your answer as an expression using a

n exponent. B) Find the total surface area of Han’s cubes. Express your answer as an expression using an exponent.
Mathematics
1 answer:
g100num [7]4 years ago
8 0

Answer:

A) Vol_10_cubes  = 2*(5^4) inch^3

B) Area_10_cubes = (2^2)*3*(5^3)  inch^2

Step-by-step explanation:

A)The volume of a cube, as all sides are equal:

Vol_cube = (side)^3

side = 5 inches

Vol_cube  = 5^3 inch^3

Since we have 10 cubes

10 = 2*5

Vol_10_cubes  = 2*(5^4) inch^3

B) A cube has six faces, each with area equal to its squared side

Area_cube = 6*(side)^2

Area_cube = 6*(5)^2  inch^2

Area_10_cubes = 2*5*6*(5)^2  inch^2

Area_10_cubes = (2^2)*3*(5)^3  inch^2

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A SQUARE PATIO HAS AN AREA OF 200 SQUARE FEET. HOW LONG IS EACH SIDE OF THE PATIO TO THE NEAREST 0.05
lara [203]
If you would like to know the length of each side of the patio, you can calculate this using the following steps:

an area ... 200 square feet
a ... the length of one side

area = a * a = a^2
200 = a^2
a = sqrt(200)
a = 14.14 feet

The correct result would be 14.14 feet.
6 0
3 years ago
Find the midpoint of the segment with the following endpoints.<br> (-3,6) and (3, 0)
otez555 [7]

The midpoint of the segment with endpoints (-3,6) and (3, 0) is (0, 3)

<h3>Midpoint of a line </h3>

From the question, we are to determine the midpoint of the segment with the given endpoints

The given endpoints are

(-3,6) and (3, 0)

Given a line with endpoints (x₁, y₁) and (x₂, y₂), then the midpoint of the line is

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Thus,

The midpoint of the line with the endpoints (-3,6) and (3, 0) is

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= (0/2, 6/2)

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Hence, the midpoint of the segment with endpoints (-3,6) and (3, 0) is (0, 3)

Learn more on Midpoint of a line here: brainly.com/question/18315903

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3 0
2 years ago
What is the solution to the equation?
RoseWind [281]
-5 =(8m+12)/4
                        multiply each side by 4
-20 = 8m + 12
                        subtract each side  by 12
-32 = 8m
                        Divide each side by 8
-4 = m
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Setler79 [48]

Answer: 92,000

Step-by-step explanation:

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2 years ago
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The correct answer is 5769.43
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