Find the volume of a cube whose diagonal measures 36√3 cm.

Answers

Answer 1

Answer:

Answer:

$46656 cm^3$

Step-by-step explanation:

If a cubes diagonal measures you can solve for its sidelength by creating a triangle. Visualize the diagonal as the hypotenuse of our triangle inside the cube. Then, one of the legs would be the side of the cube itself, and the other leg would be the diagonal of the bottom side of the cube. Knowing this is a cube, we can call each side s. If each side is s, then the diagonal of the bottom face is $s√(2)$ ( this is a special triangle property, $45-45-90$ triangle.) Then we know our triangle is a right triangle, so we can use the Pythagorean theorem to solve for s.

$s^(2) + (s√(2) )^(2) = (36√(3))^2$

Solve this equation for s.

$s^(2) + 2s^(2) = 3888$

$3s^(2) = 3888$

$s^(2) = 1296$

$s = 36$

Since we now found the side length of the cube, we can find its volume by cubing the side length:

$s^3 = (36)^3 = 46656$ $cm^3$

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2 more questions thanks

What is the answer for N+4=6

Answers

The answer would be n=2

6-4=2 so n must be 2

Why does the term angle need to be defined prior to defining perpendicular lines?

Answers

Answer:

Perpendicular means "at right angles".

A line meeting another line at a right angle, or 90° is said to be perpendicular to it.

This is why we need to know what are angles first.

Angles are defined as the space between two intersecting lines close to the point where they meet.

So, when we say perpendicular lines meet at 90° angles, we must know the definition of angles.

Perpendicular lines are two or more lines that intersect at a 90-degree angle, like the two lines drawn on this graph, and the x and y axes that orient them.

PLZ HAAAALPOne winter day, the temperature was -15°F. Later that day, the temperature rose 12°F to reach the high temperature for the day. If t represents the high temperature, what is t?

Answers

Answer:

-3°F

Step-by-step explanation:

-15 + 12 = -3

Answer:

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Step-by-step explanation:

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Answers

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b- a^2+b^2=c^2
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Answers

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Answers

you multiply height by width by length

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