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TEA [102]
1 year ago
12

How to find the surface area and volume of a square

Mathematics
1 answer:
3241004551 [841]1 year ago
6 0

Given:

The shape is square.

To find:

The surface area and volume of a square.

Explanation:

The length of each side of the square is "a" units.

The formula for the surface area of the square is,

\begin{gathered} Surface\text{ area = 6}\times Area\text{ of the square} \\ S.A=6a^2\text{ square units} \end{gathered}

The formula for the volume of the square is,

\begin{gathered} Volume,\text{ V= Length }\times breadth\times Height \\ =a\times a\times a\text{ cubic units} \\ V=a^3\text{ }cubic\text{ }units \end{gathered}

Using these formulas, we can find the surface area and the volume of the square that has side length "a" units.

For example:

Let the side length of 3cm for a square.

So, the dimensions are 3cm by 3cm by 3cm.

That is,

The Length is 3cm.

The breadth is 3cm.

The height is 3cm.

So,

a=3cm

The surface area of the square is,

\begin{gathered} S.A=6a^2 \\ =6\left(3\right)^2 \\ =6\times9 \\ =54cm^2 \end{gathered}

Therefore, the surface area of the square is 54 square cm.

The volume of the square is,

\begin{gathered} V=a^3 \\ =3^3 \\ V=27cm^3 \end{gathered}

Therefore, the volume of the square is 27 cubic cm.

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What is the area of parallelogram ABCD?
exis [7]

Answer:

c 15 square units

Step-by-step explanation:

it is very easy

4 0
2 years ago
Philip has $2,000 & spends $23.75 on supplies. He divides the remaining amout equally among his 8 employees. How much does e
Brut [27]

Answer:

247.03125

Step-by-step explanation:

Subtract: 2000 - 23.75 = 1976.25

Divide: 1976.25 / 8 = 247.03125

Hope this helps!

4 0
3 years ago
PLEASE HELP!! ITS A TEST!!
irakobra [83]

Answer:

40°

Step-by-step explanation:

A parallelogram is a quadrilateral (a four-sided object) with parallel sides

Some of the characteristics of a parallelogram includes:

1. Opposite sides and angles are congruent.

2. Opposite angels are congruent  

3. Consecutive angles are supplementary  

4. The diagonals bisect each other

Angle DBC = ABD = 35 (alternate angles are equal)

Angle ADB = 180 - 35 - 105 = 40

I subtracted from 180 because sum of angles in a triangle is equal to 180

3 0
2 years ago
A newspaper has more than 30 pages and fewer than 40 pages. The newspaper is divided into sections and each section has 8 pages.
VashaNatasha [74]
8 * 4  = 32    which is a number in between 30 and 40 
So the newspaper has 4 sections.
4 0
3 years ago
A company services home air conditioners. It is known that times for service calls follow a normal distribution with a mean of 7
SCORPION-xisa [38]

Answer:

The probability that exactly eight of them take more than 93.6 minutes is 5.6015 \times 10^{-6} .

Step-by-step explanation:

We are given that it is known that times for service calls follow a normal distribution with a mean of 75 minutes and a standard deviation of 15 minutes.

A random sample of twelve service calls is taken.

So, firstly we will find the probability that service calls take more than 93.6 minutes.

Let X = <u><em>times for service calls.</em></u>

So, X ~ Normal(\mu=75,\sigma^{2} =15^{2})

The z-score probability distribution for the normal distribution is given by;

                              Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = mean time = 75 minutes

           \sigma = standard deviation = 15 minutes

Now, the probability that service calls take more than 93.6 minutes is given by = P(X > 93.6 minutes)

       P(X > 93.6 min) = P( \frac{X-\mu}{\sigma} > \frac{93.6-75}{15} ) = P(Z > 1.24) = 1 - P(Z \leq 1.24)

                                                                = 1 - 0.8925 = <u>0.1075</u>

The above probability is calculated by looking at the value of x = 1.24 in the z table which has an area of 0.8925.

Now, we will use the binomial distribution to find the probability that exactly eight of them take more than 93.6 minutes, that is;

P(Y = y) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; y = 0,1,2,3,.........

where, n = number of trials (samples) taken = 12 service calls

            r = number of success = exactly 8

            p = probability of success which in our question is probability that

                   it takes more than 93.6 minutes, i.e. p = 0.1075.

Let Y = <u><em>Number of service calls which takes more than 93.6 minutes</em></u>

So, Y ~ Binom(n = 12, p = 0.1075)

Now, the probability that exactly eight of them take more than 93.6 minutes is given by = P(Y = 8)

               P(Y = 8)  =  \binom{12}{8}\times 0.1075^{8} \times (1-0.1075)^{12-8}

                             =  495 \times 0.1075^{8} \times 0.8925^{4}

                             =  5.6015 \times 10^{-6} .

6 0
3 years ago
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