All categories

2 years ago

What is the volume in cubic units of a cube with a side length of 1/2 unit?

Mathematics

2 answers:

malfutka [58]2 years ago

3 0

Answer:

1/8

Step-by-step explanation:

$\frac{1}{2}^3 = \frac{1^3}{2^3} = \frac{1}{8}$

WARRIOR [948]2 years ago

3 0

The volume of the cube is 1/8^2 units.

A cube consists 6 squares. Squares can be easily be recognized because of one trait, they have equal side lengths on all 4 sides.

By knowing that a cube consists of only squares, you can immediately figure out that all sides of the cube are also 1/2 unit.

The formula for a cube is l*w*h. With that being said you then would multiply 1/2 by itself three times. This can be written out as 1/2*1/2*1/2 or 1/2^3 (which is why the exponent 3 is considered “cubed”.)

Multiplying 1/2 by itself three times will then look like this: 1/2*1/2=1/4*1/2=1/8 or just 1/2*1/2*1/2=1/8

You might be interested in

Two sides of a triangle measure 27 inches and 32 inches. Which could represent the length of the third side?

charle [14.2K]

Answer:

Step-by-step explanation:

The third side could have dimension x

32 - 27 < x < 32 + 27

5 < x < 59

There are a few special triangles

Equilateral triangle could have legs

27, 32, 27

32, 27, 32

A right triangle could have the third side

√(27² + 32²) = √1753 which is about 41.87

√(32² - 27²) = √295 which is about 17.18

Notice all these fit within the original limits specified.

3 0

2 years ago

Read 2 more answers

Find the volume of the cone

r-ruslan [8.4K]

3 multiplied by 5 is 15 times 2 is 30 that should be ur answer

5 0

2 years ago

Read 2 more answers

A can of peas weighs 10 oz. Explain how you would make a graph to model the total weight of peas in terms of the number of cans

Vika [28.1K]

Ur x axis will be the number of cans and ur y axis will be the weight in oz

u will label ur x axis( the number of cans) in intervals of 1......from 0 to 4
u will label ur y axis (the weight) in intervals of 10....from 0 to 40

ur equation would be : y = 10x
points on this line are : (0,0), (1,10), (2,20), (3,30), (4,40)

3 0

2 years ago

Read 2 more answers

Helppp me plsssssssss

Oliga [24]

Answer:

The class 35 - 40 has maximum frequency. So, it is the modal class.

From the given data,

$\sf \:\:\:\:\:\:\:\:\:\:x_{k}=35$
$\sf \:\:\:\:\:\:\:\:\:\:f_{k}=50$
$\sf \:\:\:\:\:\:\:\:\:\:f_{k-1}=34$
$\sf \:\:\:\:\:\:\:\:\:\:f_{k+1}=42$
$\sf \:\:\:\:\:\:\:\:\:\:h=5$

${\bf \:\: {By\:using\:the\: formula}} \\ \\$

$\:\dag\:{\small{\underline{\boxed{\sf {Mode,\:M_{o} =\sf\red{x_k + {\bigg(h \times \: \dfrac{ ( f_k - f_{k-1})}{ (2f_k - f_{k - 1} - f_{k +1})}\bigg)}}}}}}} \\ \\$

$\sf \:\:\:\:\:\:\:\:\:= 35+ {\bigg(5 \times \dfrac{(50 - 34)}{ ( 2 \times 50 - 34 - 42)}\bigg)} \\ \\$

$\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= 35 +{\bigg(5 \times \dfrac{16}{24}\bigg)} \\ \\$

$\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= {\bigg(35+\dfrac{10}{3}\bigg)} \\ \\$

$\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:(35 + 3.33) =.38.33 \\ \\$

$\:\:\sf {Hence,}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\ \large{\underline{\mathcal{\gray{ mode\:=\:38.33}}}} \\ \\$

${\large{\frak{\pmb{\underline{Additional\: information }}}}}$

MODE

Most precisely, mode is that value of the variable at which the concentration of the data is maximum.

MODAL CLASS

In a frequency distribution the class having maximum frequency is called the modal class.

${\bf{\underline{Formula\:for\: calculating\:mode:}}} \\$

${\underline{\boxed{\sf {Mode,\:M_{o} =\sf\red{x_k + {\bigg(h \times \: \dfrac{ ( f_k - f_{k-1})}{ (2f_k - f_{k - 1} - f_{k +1})}\bigg)}}}}}} \\ \\$

Where,

$\sf \small\pink{ \bigstar} \: x_{k}= lower\:limit\:of\:the\:modal\:class\:interval.$

$\small \blue{ \bigstar}$ $\sf \: f_{k}=frequency\:of\:the\:modal\:class$

$\sf \small\orange{ \bigstar}\: f_{k-1}=frequency\:of\:the\:class\: preceding\:the\;modal\:class$

$\sf \small\green{ \bigstar}\: f_{k+1}=frequency\:of\:the\:class\: succeeding\:the\;modal\:class$

$\small \purple{ \bigstar}$ $\sf \: h= width \:of\:the\:class\:interval$

7 0

3 years ago

In RST, R = 23* and S = 136*. Which list has the sides of RST in order from shortest to longest?

exis [7]

RS,ST,TR IS THE ANSWER

4 0

3 years ago

Read 2 more answers