What is the diangonal of cuboid formula. a.l²+b²+h² b.√l²+b² c.√l²+b² d. √l²+b²+h²

Answers

Answer 1

Answer:

Answer:

$d.\ √(l^2+b^2+h^2)$

Explanation:

$\mathrm{Using\ the\ pythagoras\ theorem\ in\ the\ right\ triangles\ FBH\ and\ FGH,\ the}\n\mathrm{diagonal\ of\ cuboid\ can\ be\ calculated\ as:}√(l^2+b^2+h^2).$

Answer 2

Answer:

Final answer:

The formula to calculate the diagonal of a cuboid is d = √l²+b²+h². The formula comes from the Pythagorean theorem and allows you to calculate the longest line that can be drawn from one corner of the cuboid to the opposite corner.

Explanation:

The diagonal of a cuboid represents the longest line that can be drawn from one corner of the cuboid to the opposite corner, passing through the cuboid's interior. The formula to calculate the diagonal of a cuboid is d = √l²+b²+h². In this formula, 'l' stands for the length, 'b' is the breadth, and 'h' is the height of the cuboid.

This formula originates from the Pythagorean theorem, and its derivation involves solving for the hypotenuse of a right angled triangle that exists within the cuboid.

This is indeed the 'd' option offered in your multiple choice question. The other options include the formulas for the diagonal of a rectangle (the 'b' and 'c' options) and the square of the diagonal of a cuboid (the 'a' option).

Learn more about Pythagorean theorem

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A car fits onto a golden rectangle with a length of 12 ft. What is the car's width? Write your answer in simplified radical form and rounded to the nearest tenth of a foot.

Answers

basically, it is when legnth is $(1+ √(5) )/(2)$ the width

legnth=12
legnth= $(1+ √(5) )/(2)$ times width

12= $(1+ √(5) )/(2)$ times width
multiply both sides by 2
24= $1+ √(5)$ times width
subtract 1
23=√5 times width
divide both sides by √5
23/(√5)=width
multiply by (√5)/(√5) to rationalize denomenator
$(23 √(5) )/(5)$ =width

aprox 10.28 so 10.3 ft

w= $(23 √(5) )/(5)$ ft or aprox 10.3ft

Find equations if the following lines: Line that is parallel to the graph of y = 3x – 2 and contains the point (-2,-5)

Answers

Y3to triangle pyramid -2

How do yuh evaluate the expression
Log 4096
4

Answers

$log_(4)(4096)$

$4096=4^(6)$

let's replace it

$log_(4)(4^6)$

Them

$log_4(4^6)=6log_(4)(4)$

$log_4(4)=1$

$\boxed{\boxed{log_4(4096)=6}}$

$log_44096=x\n \n 4^x=4096\n \n 4^x=4^6\n \n \boxed{x=6}$

Emily needs to buy fabric to make curtain panels for her windows. Each panel will be 4 feet long and 1/2 foot wide. Each piece of fabric that she can buy is 4 feet long and 2 feet wide . How many panels can she make from i piece of fabric?

Answers

Each panel is 4 ft long and 1/2 ft wide

The piece of fabric is 4 ft long and 2 ft wide

So she can therefore fit 4 panels into this. We can calculate this by area
4*1/2=2ft^2

4x2=8ft^2

So 4*2 =8

The pieces of fabric are already the correct length, so it is just a matter of how many panels will fit into one piece of fabric. 2/(1/2) = 4, so she can make 4 panels from 1 piece of fabric.

Examine this expanded form.1
(a)(a)(a)(a)(a)(a)

Which is the expression in exponential form?

Answers

The expression in exponential form equivalent to the given expression (a)(a)(a)(a)(a)(a) is a⁶.

What is Exponentiation?

Exponentiation is a method of writing numbers in the powers form. It is generally useful for writing large numbers.

A number written in the exponent form means that the number is multiplied to itself many times as the number in the exponent.

A number aᵇ, read as a raise to b, is in the exponential form, where a is called the base and b is called the exponent. This means that a is multiplied to itself b times.

Here the given expression is (a)(a)(a)(a)(a)(a).

That is, the number 'a' is multiplied to itself 6 times.

So we should write an expression with base 'a' and exponent equals 6.

The expression is a⁶.

Hence, the required exponential form of the expression (a)(a)(a)(a)(a)(a) is a⁶.

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Answer:

a^-6

Step-by-step explanation:

I got it correct

What is a vertices? How many vertices does a cube have?

Answers

A single one of them is called a "vertex". It's a point where edges meet.
A triangle has 3 of them.
A square has 4 of them.
A cube or a brick has 8 of them.
Can you look around and find the 8 vertices of your bedroom ?

A vertex is a point in geometry where two or more lines, edges, or curves intersect.

There is a cube that contains eight vertices.

A vertex is a point in geometry where two or more lines, edges, or curves intersect. It is frequently used to describe the corners or places of intersection of geometric objects like polygons, polyhedra, or graphs.

The cube is a three-dimensional geometric form with six square faces. Each cube's square face has four vertices.

As a result, a cube contains eight vertices.

The vertices of a cube are the spots where the cube's three edges cross. These vertices determine the cube's corners and play an important role in shaping its shape and structure.

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