Explanation

The correct option is: n/2

Explanation

If each side of the cube is doubled in length, the new side length will be twice the original side length. Since the volume of a cube is proportional to the cube of the side length, the new volume will be:

New volume = (2 × original side length)^3

Since the original volume is 8 cubic meters, we can find the original side length by taking the cube root of 8:

Original side length = ∛8 = 2 meters

Now, we can find the new volume:

New volume = (2 × 2)^3 = (4)^3 = 64 cubic meters

So, the correct answer is: 64

Explanation

The area of a square is calculated using the formula: Area = side × side.

5 cm × 5 cm = 25 cm².

Explanation

Given the area A = 172.1 cm², and the formula for the area of a circle is A = πr²:

Step 1: Find the radius

172.1 = πr²

r² = 172.1 / π

r² = 172.1 / (22/7)

r² = 172.1 * (7/22)

r² = 54.77

r ≈ √54.77

r ≈ 7.4

Step 2: Calculate the circumference

Circumference C = 2πr

C = 2 * (22/7) * 7.4

C ≈ 2 * 3.14 * 7.4

C ≈ 46.51

Explanation

 A line perpendicular to the y-axis is parallel to the x-axis and is often referred to in terms of its abscissa value.

Additional information:

The abscissa is the x-coordinate of a point in a Cartesian coordinate system, representing the distance along the x-axis.

The ordinate, on the other hand, is the y-coordinate, representing the distance along the y-axis.

Explanation

A regular polygon has all sides and angles equal.

Among triangles, only an equilateral triangle has all three sides and angles equal, making it a regular polygon.

Explanation

The diameter is the full distance across the circle through the center.

If the circle is labeled or measured and shows a span of 36 cm across, then the diameter = 36 cm is correct.

Explanation

The ratio of circumference to diameter of any circle is a constant known as π (pi).

It is approximately equal to 3.14.

Pi (π) is an irrational number.

This meaning its decimal expansion never ends or repeats.

It is crucial in geometry, trigonometry, and engineering.

Explanation

Given:

Original length = 15 cm

Original area = 150 cm²

Original width = Area / Length

= 150 / 15

= 10 cm

New area = 1 1/3 times the original area

= 4/3 × 150

= 200 cm²

New length = New area / Width

= 200 / 10

= 20 cm

New perimeter = 2(Length + Width)

= 2(20 + 10)

= 2 × 30

= 60 cm

Explanation

Given the area of the square is 16 cm²:

Step 1: Find the side length

Area = side²

16 = side²

side = √16

side = 4 cm

Step 2: Calculate the diagonal

The diagonal of a square can be found using the formula d = side√2.

d = 4√2