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3 years ago

Find the total surface area of the cuboid

Mathematics

1 answer:

vivado [14]3 years ago

7 0

Answer:

A = 148 cm^2

Step-by-step explanation:

To calculate the surface area of the cuboid we use the following equation

A = 2 x (lh + lw+ hw) (l: length, w: width, h: height)

A = 2 x (6*5 + 6*4 + 5*4)

A = 2 x (30 + 24 + 20)

A = 2 x 74

A = 148 cm^2

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Air is being pumped into a spherical balloon at a rate of 5 cm^3/min. Determine the rate at which the radius of the balloon is i

Romashka-Z-Leto [24]

0.08 cm/min

Step-by-step explanation:

Given:

$\dfrac{dV}{dt}=5\:\text{cm}^3\text{/min}$

Find $\frac{dr}{dt}$ when diameter D = 20 cm.

We know that the volume of a sphere is given by

$V = \dfrac{4\pi}{3}r^3$

Taking the time derivative of V, we get

$\dfrac{dV}{dt} = 4\pi r^2\dfrac{dr}{dt} = 4\pi\left(\dfrac{D}{2}\right)^2\dfrac{dr}{dt} = \pi D^2\dfrac{dr}{dt}$

Solving for $\frac{dr}{dt}$ , we get

$\dfrac{dr}{dt} = \left(\dfrac{1}{\pi D^2}\right)\dfrac{dV}{dt} = \dfrac{1}{\pi(20\:\text{cm}^2)}(5\:\text{cm}^3\text{/min})$

$\:\:\:\:\:\:\:= 0.08\:\text{cm/min}$

3 0

3 years ago

Tom bought one third pickles as many pickles as alexa. Together their pickles cost 56p. How many pickles did they each buy?

nordsb [41]

Answer:

Step-by-step explanation:

let pickle bought by alexa =x

then according to given condition ,

pickle bought by Tom= (1/3) of Alexa

pickle bought by Tom= (1/3) x

hence also given

totall pickle cost = Tom cost + alexa cost = 56p

(1/3)x+x=56

taking L.C.M

(4/3)x=56

x=56*3/4

x=42 p

so it means,

<h2>Alexa cost = x = 42p</h2><h2>Tom cost = (1/3)x= (1/3)*42 = 14 p</h2>

7 0

3 years ago

Which of the following items has the lowest unit price? 4 for $5.00 $1.22 each 6 for $7.44 3 for $3.60

aev [14]

3 for 3.60 the unit price come out to 1.20

3 0

3 years ago

How to solve: 52 is 65% of what number?

Liula [17]

Let, that number = x
It would be: x * 0.65 = 52
x = 52 / 0.65
x = 80

So, that number and your answer is 80

Hope this helps!

3 0

3 years ago

cho phương trình 2x^2-5x-9 có hai nghiệm là x1,x2. không giải phương trình, hãy tính giá trị của biểu thức A= x1^2+x2^2-2x1x2^2

irga5000 [103]

Step-by-step explanation:

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https://youtu.be/f_kgUUaMZlw

8 0

3 years ago