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2 years ago

14

A gift box is a cube with a volume of 512 cubic inches. What is the length of each edge of the box?

2 answers:

Soloha48 [4]2 years ago

6 0

Answer:

8

Step-by-step explanation:

The volume of a cube is length x width x height. Since it's a cube, though, the length, width, and height are all equal, and equivalent to the length of one edge of the cube. Therefore, to find the lenght of an edge of the cube, just find the cube root of the volume. In this case, the cube root of 512 is equal to 8.

SIZIF [17.4K]2 years ago

3 0

Answer:

Each side is 8 inches long

Step-by-step explanation:

The volume of a cube is given by

V =s^3 where s is the side length

512 in^3 = s^3

Take the cube root of each side

512 ^ (1/3) = s^3 ^ (1/3)

8 = s

Each side is 8 inches long

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An object is spinning around a circle at a rate of 420 revolutions per minute. If the circle has a diameter of 8 feet, what is i

Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

This seems more like a physics questions, but i'll help you :P

the circle is 8 feet across or a radius of 4 feet

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it's going around 420 times a minute

420 * 25.132741 = 10555.75132 feet per minute

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3 years ago

Rewrite the expression with rational exponents as a radical expression. 7 times x to the two thirds power

Daniel [21]

Answer:

$(7x)^{\frac{2}{3}}$ = $\sqrt[3]{49x^{2} }$

Step-by-step explanation:

We have been given the expression;

7 times x to the two thirds power which can be written mathematically as;

$(7x)^{\frac{2}{3}}$

To express the above expression as a radical, we need to recall that;

$a^{\frac{b}{n}}=\sqrt[n]{a^{b}}$

Therefore;

$(7x)^{\frac{2}{3}}=\sqrt[3]{(7x)^{2} }\\\\=\sqrt[3]{49x^{2} }$

6 0

3 years ago

Read 2 more answers

Solve for x: 3x − 2 > 5x + 10. (5 points)

velikii [3]

Answer:

Option 2.. x > -6

Step-by-step explanation:

3x -5x - 2 > 5x -5x + 10

-2x - 2 + 2 > 10 + 2

-2x/-2 > 12/-2

<u>x > -6</u>

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2 years ago

Jernel has to figure out the area of her square garage. she knows that one side of the garage is equal to the length of her rabb

Readme [11.4K]

Answer: 100 square units.

Step-by-step explanation:

Given: Jernel has to figure out the area of her square garage.

She knows that one side of the garage is equal to the length of her rabbit pen.

Now, the length of the rabbit pen = 10 units

Then , the length of the garage will be 10 units

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Hence, the area of the garage = 100 square units.

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3 years ago

Problem in the picture

STatiana [176]

Answer:

B)

Step-by-step explanation:

65 x 2.5 = 162.5

70 x 1.5 = 105

162.5+105=267.5

7 0

3 years ago

Read 2 more answers