Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Each face of a cube has an area of $4$ square units. What is the volume of the cube? $\newline$ ____ cubic units

View step-by-step help

View step-by-step help

Area and perimeter: word problems

Full solution

Q. Each face of a cube has an area of

4

square units. What is the volume of the cube?

\newline

____ cubic units

Determine side length: Step $1$ : Determine the side length of the cube. Since each face of the cube is a square with an area of $4$ square units, the side length can be found by taking the square root of the area. Calculation: $s = \sqrt{4} = 2$ units.
Calculate volume: Step $2$ : Calculate the volume of the cube. $\newline$ The volume of a cube is given by the cube of the side length. $\newline$ Calculation: Volume = $s^3 = 2^3 = 8$ cubic units.

More problems from Area and perimeter: word problems

Question

A square window has a perimeter of \(136\) inches. How long is each side?

\newline

\_\_\_\_\_

Posted 2 months ago

Question

What is the greatest possible error for a measurement of

2

\newline

\_\_\_

Posted 3 months ago

Question

What is the percent error for a measurement of

5

?

\newline

If needed, round your answer to the nearest hundredth of a percent.

\newline

\newline

Posted 2 months ago

Question

Which measurement is more precise?

\newline

\newline

29.4

\newline

31

Posted 3 months ago

Question

A new dictionary in the shape of a rectangular prism will have a thickness of

3

inches (in). The volume of the dictionary will be

216 \mathrm{in}^{3}

. What must be the area of the front cover, a face perpendicular to the thickness, in square inches?

Posted 4 months ago

Question

Sako's garden is

6

yards long. What is the length of his garden in feet?

Posted 3 months ago

Question

Avery is designing a large rectangular sign. They want the sign to have an area of

2\,\text{m}^2

\frac{4}{5}\,\text{m}

. How tall should the sign be?

Posted 4 days ago

Question

Find the monthly payment for a

30

100000

4\%

Posted 3 months ago

Question

Gabriel is designing a rectangular planter box for their garden. It needs to cover an area of

15 \frac{1}{2} \text{ m}^2

. Gabriel wants it to be

7 \frac{3}{4}

long. How wide does the planter box need to be?

Posted 3 months ago

Question

An electrician plans to install solar panels on a rectangular section of roof with an area of

180\text{m}^2

. This width of this section of roof is

7\frac{1}{5}

Posted 3 months ago