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sveta [45]
3 years ago
8

The width of a box is two inches less than twice the height. The length is 4 inches less than three times the height. The volume

is 2240 cubic inches. What are the dimensions of the box
Mathematics
1 answer:
Mrac [35]3 years ago
6 0

Answer:

Dimensions are 8 Inches by 14 inches by 20 inches

Step-by-step explanation:

The volume of the box is 2240. This means:

lbh = 2240

Where b is the width.

Width is two inches less than twice the height

b = 2h - 2

length is 4 inches less than 3 times the height

l = 3h - 4

Substituting these parameters into the lbh equation will yield the following:

h * (3h - 4) * (2h - 2) = 2240

h[6h^2-14h+8] = 2240

6h^3 -14h^2 + 8h - 2240= 0

Solving this cubic equation will yield one of the values to be 8. The other two values are complex numbers.

b = 2h - 2

l = 3h - 4

b = 2(8) - 2 = 14

l = 3(8) - 4 = 20

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Answer:

The volume of the sphere is 2048 in³.

Step-by-step explanation:

The volume of a sphere is given by:

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

Where:

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Having the radius and by using 3 for π, the volume is:

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I hope it helps you!        

4 0
3 years ago
Which equation can be used to find the value of b if side a measures 8.7 cm? 8.7 + b = 54.6 17.4 + b = 54.6 26.1 + b = 54.6 34.8
Ipatiy [6.2K]

We can't say.  You never told us how side-b is related to side-a. 
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5 0
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- Previous 11.1.3 Quiz: The Pythagorean Theorem A WXY is a right triangle. √36 √18 W √18 O A. True O B. False ← PREVIOUS sta De
meriva

Since (√36)² = (√18)²+(√18)², hence the triangle WXY is a right angle

<h3>What is Pythagoras theorem</h3>

The theorem states that the square of the hypotenuse is equal to the sum of the square of other two sides

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Given

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Learn more on Pythagoras theorem here: brainly.com/question/343682

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7 0
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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