All categories

3 years ago

Find the volume of a cube with side length of 7 in.

Mathematics

1 answer:

anastassius [24]3 years ago

8 0

Answer: 343 in³

Explanation: In this problem, we're asked to find the volume of a cube.

It's important to understand that a cube is a type of rectangular prism and the formula for the volume of a rectangular prism is shown below.

<em>Volume = length × width × height</em>

In a cube however, the length, width, and height are all the same. So we can use the formula side × side × side instead.

So the formula for the volume of a cube is side × side × side or s³.

So to find the volume of the given cube, since each side has a length of 7 inches, we can plug this information into the formula to get (7 in.)³ or (7 in.)(7 in.)(7 in).

7 x 7 is 49 and 49 x 7 is 343.

So we have 343 in³.

So the volume of the given cube is 343 in³.

You might be interested in

If the volume of a sphere is 36 cubic units, what is the radius? 3 units 4√3 units 9 units

nikdorinn [45]

Answer:

radius = 2.05 units

Step-by-step explanation:

The volume of a sphere is given by the formula: $V=\frac{4}{3} \pi r^3$ . In this formula:

V = volume of the sphere
r = radius of the sphere

Since we are given the volume of the sphere (36 units^3), we just need to solve for r in the equation for the volume of a sphere.

Substitute 36 for V into the formula and solve for r.

$36=\frac{4}{3} \pi r^3$

Divide both sides by $\frac{4}{3}$ . To do this, multiply 36 by the reciprocal of $\frac{4}{3}$ .

$36\times \frac{3}{4}$
$36\times \frac{3}{4} =\frac{108}{4} \rightarrow 27$

Simplify and rewrite the equation.

$27=\pi r^3$

Now divide both sides of the equation by pi ( $\pi$ ).

$27\div\pi=8.59436692696$

Rewrite the equation.

$8.59436692696=r^3$

To isolate and solve for r, cube root both sides of the equation.

$r=\sqrt[3]{8.59436692696}$
$r=2.04835218977$

The radius of this sphere is 2.04835218977 units. If your question wants this rounded to the nearest:

whole number: 2 units
tenth: 2.0 units
hundredth: 2.05 units
thousandth: 2.048 units

I'll just give the answer rounded to the nearest hundredth as that seems the most popular.

8 0

3 years ago

Read 2 more answers

Need help Soon as possible

netineya [11]

Answer:

D; D

Step-by-step explanation:

The common difference of the first sequence is 10, so the coefficient is 10. The first term minus the common difference is -8, so that is the constant

The common difference of the second sequence is 3, so the coefficient is 3. The first term minus the common difference is -9, so that is the constant.

7 0

3 years ago

The sum of 27 and seven times a number is 125. Find the number.

zysi [14]

The number is 14

Here's the solution:

Let the number be x

According to the question,

27+7x=125

//Subtract 27 from both the sides

7x=125-27

7x=98

//divide both the sides by 7

x=98/7

x=14

9 0

3 years ago

Read 2 more answers

What number can be added to 1.38 to get zero?

Effectus [21]

-1.38. Say thank you, UR WELCome

6 0

3 years ago

Subtract:

choli [55]

Answer:

it's answer is D -92