All categories

3 years ago

The volume of the cube is equal to four times the area of one of its faces. What is the volume of the cube?.

Mathematics

2 answers:

kaheart [24]3 years ago

8 0

Given: V of cube = 4s^2, where s is the length of just one edge of the cube.

fomenos3 years ago

4 0

Answer: 64 in.^3

Step-by-step explanation:

one side of the length of the cube is x.

Therefore the area is x^2

volumes is x^3

volume is 4 times the area of one face

v (X^3) = 4 * x^2

to make the equation equal x has to be 4.

X^3 = 4 * x^2

which is, 4^3 = 4 * 4^2 (4*4*4 = 4*4*4)

therefore the v is 64in.^3

You might be interested in

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Contact [7]

Answer:

$\dfrac{z-y}{a+b}$

Step-by-step explanation:

Given expression:

$\dfrac{z^2-y^2}{a^2-b^2}\div \dfrac{z+y}{a-b}$

Substitute

$a^2-b^2=(a-b)(a+b)\\ \\z^2-y^2=(z-y)(z+y)$

into the expression:

$\dfrac{(z-y)(z+y)}{(a-b)(a+b)}\div \dfrac{z+y}{a-b}\\ \\ \\=\dfrac{(z-y)(z+y)}{(a-b)(a+b)}\times \dfrac{a-b}{z+y}\\ \\ \\=\dfrac{z-y}{a+b}$

4 0

3 years ago

Read 2 more answers

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric

otez555 [7]

Answer:

dimension are 350 m and 350 m and

area is 122500 m²

Step-by-step explanation:

Given data

perimeter is 700 m

to find out

the largest area and its dimensions

solution

we consider x and y are the sides

so area is xy

perimeter is 2x+ y = 700

so we can say y = 700 -2x

so area will be = x (700 - 2x)

area = 700x - 2x²

we take derivative here and equal to zero

dA/dt = 700x - 2x²

700 - 4x = 0

x = 700/4

x = 175

so will be

y = 700 -2x

y = 700 -2(175)

y = 350

so dimension are 350 m and 350m

area is 122500 m²

3 0

3 years ago

A radar measures the speed of a car at 45 miles per hour. The actual speed of the car is 40 miles per hour what is the percent e

sweet-ann [11.9K]

Hi☺️ i think it is around the number of less than 2
hope this help !

8 0

3 years ago

Choose the best answer that represents the property used to rewrite the expression.

Andre45 [30]

Answer:

The Quotient Property.

Step-by-step explanation:

Since all three logarithms have the same base (base-5), and you are subtracting 6 and 3, to solve this all you need to do is 6 / 3 because of the Quotient Property.

You aren't multiplying anything, so you wouldn't use the Product Property.

You are not messing around with powers, so you wouldn't use the Power Property.

And you aren't using addition or multiplication, so you wouldn't use the Commutative Property.

Hope this helps!

5 0

3 years ago

Can someone help me please ??

Komok [63]

Answer: discount and a sales price is: 114.75

With total with tax is: 122.20875

Step-by-step explanation:

I got this by see what the price was with the discount and then adding on the tax

4 0

3 years ago

Read 2 more answers