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1 year ago

A plastic alphabet cube is 7 cm on each side. What is the surface area of the cube?

Mathematics

2 answers:

Viktor [21]1 year ago

8 0

Answer:

Cube's features;

6 sides to a cube

All side lengths are equal, so all areas are the same

Given this information, we must find the area of one side and multiply that area by 6 since there are 6 equal sides of the same area.

Formula for area of square:-

A = a^2

A = a · a

Where 'a' represents the length of one side.

Plug in values;

A = a^2

A = 7^2

A = 49 centimetres is the area of one side.

Now we find the areas of all sides (6 sides in total);

49(6)

= 294 is the surface area of the cube.

MrRa [10]1 year ago

6 0

Answer:

In a cube, the length and width are the same, so both sides will be 7 cm, yielding an area of 49 square centimeters.

Step-by-step explanation:

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Y = 5+5(x-8) Can someone please solve this?

vekshin1

y = 5+5(x-8)

y = 5 + 5x - 40

y = 5x - 35

7 0

3 years ago

In the adjoining figure , APB and AQC are equilateral triangles. Prove that PC = BQ. ( Hint : <img src="https://tex.z-dn.net/?f=

just olya [345]

Answer:

See Below.

Step-by-step explanation:

Statements: Reasons:

$\displaystyle 1)\text{ } \Delta APB \text{ and } \Delta AQC \text{ are equilateral triangles}$ Given

$\displaystyle 2) \text{ } m \angle PAB = 60$ Definition of equilateral.

$3)\text{ } m \angle QAC = 60$ Definition of equilateral.

$4)\text{ } m\angle PAB = m\angle QAC$ Substitution

$5)\text{ } m\angle PAC=m\angle PAB+m\angle BAC$ Angle Addition

$\displaystyle 6)\text{ } m\angle QAB=m\angle QAC+m\angle BAC$ Angle Addition

$7)\text{ } m\angle QAB=m\angle PAB+m\angle BAC$ Substitution

$\displaystyle 8)\text{ } m\angle PAC=m\angle QAB$ Substitution

$9)\text{ } PA=BA$ Definition of equilateral

$10)\text{ } AC=AQ$ Definition of equilateral

$\displaystyle 11)\text{ } \Delta PAC \cong \Delta BAQ$ Side-Angle-Side Congruence*

$\displaystyle 12)\text{ } PC=BQ$ CPCTC

* SAS Congruence:

PA = BA

∠PAC = ∠QAB

AC = AQ

6 0

2 years ago

Read 2 more answers

The difference of two numbers is 16 the greater number is five less than four times a small number find the two numbers

Elis [28]

Answer:

The numbers are 23 and 7

Step-by-step explanation:

1. Set up the equations

Let x = the greater number

and y = the smaller number. Then

(1) x - y = 16

4y = 4 times the smaller number and

4y - 5 = 5 less than 4 times the smaller number. Then

(2) x = 4y - 5

You have a system of two equations:

$\begin{cases}(1) & x - y = 16\\(2) & x = 4y - 5\end{cases}$

2. Solve the equations

$\begin{array}{lrcll}(3) & 4y - 5 - y & = & 16 &\text{Substituted (2) into (1)}\\& 3y - 5 & = & 16 &\text{Simplified}\\ & 3y & = & 21 &\text{Added 5 to each side}\\(4) &y & = & \mathbf{7} &\text{Divided each side by 3} \\& x - 7 & = & 16 & \text{Substituted (4) into (1)}\\& x& = & \mathbf{23} & \text{Added 7 to each side}\\\end{array}$

The larger number is 23; the smaller number is 7.

3. Check

$\begin{array}{rclcrcl}23 - 7& = & 16 & \qquad &23&=&4(7) - 5\\16 & = & 16 & \qquad &23& = &28 - 5\\&&& \qquad &23& = &23\\\end{array}$

OK.

3 0

3 years ago

Puis traveled one-quarter of the journey to his destination. He still has to cover 24km to reach the third-way mark. How many ki

sertanlavr [38]

Answer:

The distance Puis still have to travel to reach his destination is 72 km.

Step-by-step explanation:

The given parameters about Puis journey are

Distance covered by Puis = 1/4 of total distance

Distance remaining for Puis to complete the journey = 3/4 of the journey

Distance of Puis from the third-way (central) mark = 24 km

Therefore;

Distance from 1/4 of journey to 1/2 of journey = 24 km

Hence, 1/2 - 1/4 = 1/4 of the journey = 24 km

Which gives Total distance covered by Puis = 24 km

Total distance of the journey = 4 × 24 km = 96 km

The distance Puis still have to travel to reach his destination = 96 - 24 = 72 km.

3 0

2 years ago

Dylan's Dog weighs 12 times as much as his pet Rabbit. The Dog and Rabbit weigh 104 pounds altogether. How Much does Dylan's Dog

aleksley [76]

When r is the weight of the rabbit:
13r = 104
/13 /13
r = 8
Now, subtract:
104
- 8
= 96
Dylan's dog weighs 96 pounds.
Hope this helps!

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2 years ago