Diameter = 20.00, height = 10.00 what's the volume of cylinder ?

The unit cube is divided into identical rectangular prisms. What is the volume of one of the identical prisms?

BlackZzzverrR [31]

Answer:

Volume of one prism; (1/16) unit³

Step-by-step explanation:

The given volume of the cube, v₁ = 1 unit cube

The height of the unit cube, h₁ = 1 unit

The length of the unit cube, w₁ = 1 unit

The height of the unit cube, l₁ = 1 unit

The number of identical prism located along the height = 2 identical prism

The number of identical prism located along the width = 2 identical prism

The number of identical prisms located along the length = 4 identical prism

Therefore;

The height of each identical rectangular prism that make up the unit cube, h₂ = h₁/2 = 1/2 unit

Similarly, for each identical rectangular prism, we have;

The width, w₂ = w₁/2 = 1/2 unit

The length, l₂ = l₁/4 = 1/4 unit

The volume of each one of the identical rectangular prism, v₂ = h₂ × w₂ × l₂

∴ v₂ = 1/2 unit × 1/2 unit × 1/4 unit = 1/16 unit³

The volume of one of the identical rectangular prisms = (1/16) unit³.

4 0

2 years ago

.....................

Oksana_A [137]

Answer: hi .................

3 0

3 years ago

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Question 18

Stels [109]

The system of linear equations that best represents the situation are:

z+y=18

3z +2y=44

<h3>What are the linear equations?</h3>

In order to determine the values of the two types of cheese, two set of linear equations can be formed from the question. The equations have to be solved together using either the elimination , substitution or graphical methods.

To learn more about simultaneous equations, please check: brainly.com/question/25875552

#SPJ1

8 0

1 year ago

Can you answer question 45 and 46? (Show work)

muminat

45. These word problems often seem to be two equations in two unknowns, here h for hits and m for misses.

"After 30 tries" translates into

$h + m = 30$

+5 for a hit, -10 for a miss, John lost 90 translates to

$5h + -10 m = -90$

We have

$m = 30 - h$

$5h - 10(30 -h) = -90$

$5h - 300 + 10h = -90$

$15h = 210$

$h = 210/15 = 14$

Answer: 14

Check: 5(14)-10(16)=-90, good

46. We have to make the odd assumption the grocer sells for his cost, but let's not beat up the question too hard.

Again, two unknowns, b kilograms of Brazil nuts and c kilograms of cashews.

... sold 12 kg of the mixture ...

$b + c = 12$

... cashews $8/kg and Brazil nuts $10/kg and the results is $8.50/kg ...

This one's a bit more involved to translate because we have to recognize the total price is the 8.50 per kg times 12 kg.

$8c + 10b = 12(8.50) = 102.00$

The solving is pretty much just like the last one; we eliminate the unknown we're not asked for.

$b = 12 - c$

$8c + 10(12 - c) = 102$

$-2c = 102 - 120 = -18$

$c = 9$

Answer: 9

Check: (9(8)+10(3))/12=102/12 = 8.50 good

4 0

3 years ago

Amy and Fraser walk inside a circular lawn. Point O is the center of the lawn, as shown below: A circle is drawn. The center of

Assoli18 [71]

Answer:

Both Amy and Fraser walk distances equal to the radius of the lawn.

Step-by-step explanation:

The radius of a circle is a line segment from the center to the outside edge (circumference).

Amy walks from O, the center, to A, along the outside edge, using segment OA. This is a radius of the circle.

Fraser walks from O, the center, to B, along the outside edge, using segment OB. This is a radius of the circle.

Thus the correct answer is that both Amy and Fraser walk distances equal to the radius of the lawn.

6 0

3 years ago

Read 2 more answers