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2 years ago

The total surface area of this cuboid is 112cm squared find the value of x

Mathematics

2 answers:

soldier1979 [14.2K]2 years ago

5 0

Answer:

$x=2\sqrt{\frac{14}{3}}\ units$ or $x=\frac{2}{3}\sqrt{42}\ units$

Step-by-step explanation:

we know that

The surface area of a cube is equal to

$SA=6x^{2}$

where

x is the length side of a cube

In this problem we have

$SA=112\ cm^{2}$

substitute in the formula and solve for x

$112=6x^{2}$

$x^{2}=112/6$

square root both sides

$x=\sqrt{\frac{112}{6}}\ units=2\sqrt{\frac{14}{3}}\ units=\frac{2}{3}\sqrt{42}\ units$

Bumek [7]2 years ago

4 0

Answer:

Step-by-step explanation:

3x2=6

6+6=12

10x3=30

30+30=60

10x2=20

20+20=40

40+60+12=112

112cm

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V125BC [204]

Answer:

Step-by-step explanation:

Which statement in the trailer is the hook?

A) Harry Potter seems at first glance normal, a boy living an unusual life with his dull and rather mean Dursley relatives.

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C) Forbidden by his uncle from seeking out his magical destiny, letters rain down inviting Harry to attend the magic school of Hogwarts.

D) What follows is an adventure story of intrigue, discoveries, and sacrifice.

In order of events:

A, C, B, D

A is where the story begins so it would be the best chose. It should catch you and make you want to know more. Also, the hook is usually the first sentence.

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3 years ago

Bethany paid $408.75 for a pair of diamond stud earrings. The sale price was $375. What is the Percent of Sales Tax she paid for

9966 [12]

Answer:

She paid 9% of sales tax

Step-by-step explanation:

The sale price of diamond = $375

Let x be percent of sales tax

So, amount of tax = $x\% \times 375 = \frac{x}{100} \times 375 =3.75x$

So, Amount including tax = 375+3.75x

We are given that Bethany paid $408.75 for a pair of diamond stud earrings.

So, 375+3.75x=408.75

3.75x=408.75-375

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3 years ago

Find the Area. Simplify your answer.

Vaselesa [24]

Answer:

Area = $9x^2$ square units

Step-by-step explanation:

<u>Key skills needed: Area of a parallelogram</u>

1) This shape is a parallelogram, and the way to find the area of a parallelogram is:

$A = bh$

A = area

b = base (the side at the bottom

h = the height ( the length that runs from one side to another and makes a right angle)

2) The base (b) would be 3x. The height (h) would also be 3x

3) This means A = $3x(3x)$

3 times 3 is 9 --> and x times x is $x^2$

Therefore the area is --> $9x^2$

<em>Hope you understood and have a nice day!! :D</em>

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2 years ago

What is the area of this triangle ?

oee [108]

Answer:

Area of triangle is 9.88 units^2

Step-by-step explanation:

We need to find the area of triangle

Given E(5,1), F(0,4), D(0,8)

We will use formula:

$Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}$

We need to find the lengths of side DE, EF and FD

Length of side DE = a = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side DE = a = $=\sqrt{(5-0)^2+(1-8)^2}\\=\sqrt{(5)^2+(-7)^2}\\=\sqrt{25+49}\\=\sqrt{74}\\=8.60$

Length of side EF = b = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side EF = b = $=\sqrt{(0-5)^2+(4-1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.8$

Length of side FD = c = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side FD = c = $=\sqrt{(0-0)^2+(8-4)^2}\\=\sqrt{(0)^2+(4)^2}\\=\sqrt{0+16}\\=\sqrt{16}\\=4$

so, a= 8.60, b= 5.8 and c = 4

s = a+b+c/2

s= 8.6+5.8+4/2

s= 9.2

Area of triangle= $=\sqrt{s(s-a)(s-b)s-c)}\\=\sqrt{9.2(9.2-8.6)(9.2-5.8)(9.2-4)}\\=\sqrt{9.2(0.6)(3.4)(5.2)}\\=\sqrt{97.5936}\\=9.88$

So, area of triangle is 9.88 units^2

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