P(-6, 4), O-2, 7), R(-1, 0), S(-5, -3)<br> Please help ASAP

The volume of a cube is related to the area of a face by the formula V = A^3/2What is the volume of a cube whose face has an are

Sveta_85 [38]

Answer:

$\huge\boxed{1000 \ \text{cm}^3}$

Step-by-step explanation:

There are two ways we can solve this equation.

<h2>A) Using the formula provided</h2>

The formula provided states that the volume of a cube based on the area of one of it's faces will be $a^{\frac{3}{2}}$ , a the area of one face. Since we know the area of one face, we can substitute that inside the equation.

$100^{\frac{3}{2}}$

It's important to note that when we have a number to a fraction power, it's the same as taking the denominator root of the base to the numerator power.

So - $100^{\frac{3}{2}}$ becomes $\sqrt{100^3}$

$100^3=1000000$

$\sqrt{1000000}=1000$

Therefore, the volume of this cube will be $1000 \ \text{cm}^3$

<h2>B) Using prior knowledge about cubes</h2>

We can additionally use prior knowledge to find the volume of this cube.

We know that the area of a square will be $s^2$ , where s is the length of a side. We also know the formula to find the volume of a cube from it's side length is $s^3$ .

Since we know that one face is 100, we can make an equation - $s^2=100$

$\sqrt{s^2}=\sqrt{100}$
$s=10$

Now that we know the value of s, we can plug it into the volume formula, $s^3$ .

$10^3$
$10 \cdot 10 \cdot 10$
$1000$

So the volume is $1000 \ \text{cm}^3$ .

Hope this helped!

4 0

2 years ago

Which shape is similar to shape 1

ki77a [65]

Can you please insert a photo so I can help you

5 0

2 years ago

Read 2 more answers

HELP!!!!<br> Please help me!!<br> I need help!!<br> HELP!!!!

mote1985 [20]

Answer:

Pretty sure it's A

Step-by-step explanation:

The x outside the parenthesis means that there's an x intercept at (0,0) and (x-3) means there's another one at (3,0)

5 0

2 years ago

Estimate the perimeter of the figure to the nearest whole number.

Paha777 [63]

Answer:

The perimeter (to the nearest integer) is 9.

Step-by-step explanation:

The upper half of this figure is a triangle with height 3 and base 6. If we divide this vertically we get two congruent triangles of height 3 and base 3. Using the Pythagorean Theorem we find the length of the diagonal of one of these small triangles: (diagonal)^2 = 3^2 + 3^2, or (diagonal)^2 = 2*3^2.

Therefore the diagonal length is (diagonal) = 3√2, and thus the total length of the uppermost two sides of this figure is 6√2.

The lower half of the figure has the shape of a trapezoid. Its base is 4. Both to the left and to the right of the vertical centerline of this trapezoid is a triangle of base 1 and height 3; we need to find the length of the diagonal of one such triangle. Using the Pythagorean Theorem, we get

(diagonal)^2 = 1^2 + 3^2, or 1 + 9, or 10. Thus, the length of each diagonal is √10, and so two diagonals comes to 2√10.

Then the perimeter consists of the sum 2√10 + 4 + 6√2.

which, when done on a calculator, comes to 9.48. We must round this off to the nearest whole number, obtaining the final result 9.

4 0

2 years ago

1.Sheena wants to make lime juice.

pochemuha

She needs 15 crates of limes

2x6=12
40x6=240 limes required to make 12 liters
240/16=15 crates needed

5 0

2 years ago

P(-6, 4), O-2, 7), R(-1, 0), S(-5, -3) Please help ASAP