1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ede4ka [16]
3 years ago
8

A cube-shaped box has a volume of 1/8 of a cubic meter. What is the perimeter of each of its

Mathematics
1 answer:
belka [17]3 years ago
5 0

Given:

The volume of a cube-shaped box is \dfrac{1}{8} cubic meter.

To find:

The perimeter of each of its faces.

Solution:

Let "a" be the side length of the cube shaped box. Then the volume of the box is:

V=(side)^3

V=a^3

It is given that the volume of a cube-shaped box is \dfrac{1}{8}  cubic meter.

a^3=\dfrac{1}{8}

Taking cube root on both sides, we get

a=\dfrac{1}{2}

Now, the perimeter of each face of a cube is:

P=4a

Where, a is the side length of the cube.

Putting a=\dfrac{1}{2}, we get

P=4\times \dfrac{1}{2}

P=2

Therefore, the perimeter of each face of a cube-shaped box is 2 meters.

You might be interested in
Select all the expressions that represent the large rectangle's total area.
Deffense [45]

Answer:

2,3, and 5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How do i Write (3x^3)^2 without exponents
Murljashka [212]
The answer is there I explained the process.

8 0
3 years ago
HELP!!What is the volume of the rectangular prism?
MArishka [77]

Answer:

64 cubic inches

Step-by-step explanation:

The formula to find the volume of a rectangular prism is

Length x Width x Height

Therefore, 2 x 8 x 4 = 64.

4 0
3 years ago
Use the given transformation to evaluate the integral. 9 x − 3y 2x − y dA, R where R is the parallelogram enclosed by the lines
hichkok12 [17]

\displaystyle\iint_R(9x-3y)(2x-y)\,\mathrm dA

\begin{cases}u=x-3y\\v=2x-y\end{cases}\implies\begin{cases}x=\frac{3v-u}5\\y=\frac{v-2u}5\end{cases}\implies\mathrm dA=|\det J|\,\mathrm du\,\mathrm dv

where J is the Jacobian matrix for the transformation,

J=\begin{bmatrix}u_x&u_y\\v_x&v_y\end{bmatrix}=\begin{bmatrix}-\dfrac15&\dfrac35\\\\-\dfrac25&\dfrac15\end{bmatrix}\implies|\det J|=\dfrac15

We have

9x-3y=8x+x-3y=\dfrac85(3v-u)+u=\dfrac{24v-3u}5

so that the integral is

\displaystyle\frac1{25}\int_9^{10}\int_0^{10}(24v-3u)v\,\mathrm du\,\mathrm dv=\boxed{\frac{4051}5}

5 0
3 years ago
What number comes next 2000018_28 ???
Oksana_A [137]
I think the number would be 1.
8 0
3 years ago
Read 2 more answers
Other questions:
  • a tree cast shadow that is 24 ft long. a 4-ft tall young boy casts a shadow that is 3 ft long. the two triangels created are sim
    5·1 answer
  • A huge bag of garlic bulbs weighs 294 lbs divided by 1/6th of its weight. How much does the bag of garlic weigh?
    5·1 answer
  • The length of a rectangle is 1 more yd than twice the width, and the area of the rectangle is 66 yd squared. Find the dimensions
    9·1 answer
  • kelly answered 3 items on a test incorrectly. this was 6% of the items. How many items were on the test?
    12·1 answer
  • Robert wants to have his birthday party at a bowling alley with a few friends, but he can spend no more than $80. The bowling al
    5·1 answer
  • Can someone please help me with this
    11·1 answer
  • You are relieved from your position as a machine operator at the plant at 11:25 for a 50-minute lunch break. When must you begin
    12·1 answer
  • I know the solutions to Y=3x-1 is (1,2) and (2,5) but how do I get those answers? How do I find out those are correct.
    6·1 answer
  • A preliminary study conducted at a medical center in St. Louis has shown that treatment with
    12·1 answer
  • An astronaut who weighed 150 pounds on earth found that his weight on jupiter was 400 pounds. he captured an alien that weighed
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!