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bazaltina [42]
2 years ago
14

A rectangular solid has sides of 4 cm, 6 cm, and 8 cm. What is its surface area?

Mathematics
2 answers:
gizmo_the_mogwai [7]2 years ago
8 0
The surface are of a rectangular prism is:

A=2(xy+xz+yz), where x,y, and z are the dimensions of the prism, in this case:

A=2(4*6+4*8+6*8)

A=2(24+32+48)

A=2(104)

A=208 cm^2
labwork [276]2 years ago
3 0

Answer:

The surface area is 208 cm^2

Step-by-step explanation:

In order to determine the surface area of a rectangular solid, we have to know the formula of a rectangular area.

The <em>area of a rectangle</em> is:

A=B*H

Where:

B is the <em>width</em> of the rectangle.

H is the <em>height</em> of the rectangle.

A rectangular solid is a volume that it is formed of rectangular faces, so if we want to determine the total surface, we just have to calculate the rectangular areas for every face.

I have attached an image of a rectangular solid that shows its form and some formulas.

In this case, using the formula of surface area from the image:

L=4cm\\W=6cm\\H=8cm\\\\S=2*L*H+2*L*W+2*W*H\\S=2*4*8+2*4*6+2*6*8\\S=64+48+96\\S=208

Finally, the surface area is 208 cm^2

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Help:) Factor f(x) = 4x^3+ 23x^2- 70x + 16 into linear factors given that - 8 is a zero of f(x).
Charra [1.4K]

Answer:

(x + 8)(x - 2)(4x - 1)

Step-by-step explanation:

Given that x = - 8 is a zero then (x + 8) is a factor

Divide f(x) by (x + 8) using Synthetic division

- 8 | 4    23    - 70    16

        ↓  - 32      72   - 16

      ---------------------------------

        4    - 9       2       0

Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)

Thus

f(x) = (x + 8)(x - 2)(4x - 1)

 

8 0
3 years ago
Which equation is equivalent to StartRoot x squared + 81 EndRoot = x + 10?
marishachu [46]

The given equation is equivalent to Option D .

The mission option is

A. x+10= x+10

B. x+9 =x² + 20x + 100

C. x² +81 = x² + 100

D. x² + 81 = x² +20x + 100

<h3>What is an Equation ?</h3>

An equation is a mathematical statement formed when two algebraic expression is equated by an equal sign .

An equation is given in the question

\rm \sqrt{x^2 + 81} = x +10

\rm {x^2 + 9^2} = (x +10)^2

\rm {x^2 + 81} = x^2 +20x + 100

Therefore the given equation is equivalent to Option D .

To know more about Equation

brainly.com/question/10413253

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5 0
1 year ago
A box with an open top will be constructed from a rectangular piece of cardboard. The piece of cardboard is 10 inches wide and 1
kupik [55]

Answer:

Domain of the function is  { x : x∈R, x>0 } or (0,∞).

Step-by-step explanation:

It is given that the dimensions of a rectangular piece of cardboard are

Length = 14 inch

Width = 10 inch

The box will be constructed by cutting out equal squares of side x at each corner and then folding up the sides. So the dimensions of the box are

Length = 14-2x inch

Breadth = 10- 2x inch

Height = x inch

The volume of cuboid box is

V=length\times breadth \times height

The volume function of the box is

V=(14-2x)\times (10-2x)\times x

V=(14-2x)(10-2x)x

The volume function is V=(14-2x)(10-2x)x.

It is a polynomial function and domain of a polynomial function is all real numbers.

Here, x represents the height of the box. So, value of x must be a positive real number.

Domain of the function is

Domain = { x : x∈R, x>0 }

It can be written as (0,∞).

Therefore, domain of the function is  { x : x∈R, x>0 } or (0,∞).

5 0
3 years ago
Decide whether x=2 is a solution of x square+4x-12=0
hjlf

Answer:Yes, it is


Step-by-step explanation:

2^2+4(2)-12=0

4+8-12=0

12-12=0

0=0

7 0
3 years ago
A data set is made up of the values 6, 6, 8, 12, and 18.
navik [9.2K]

Answer:

D

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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