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3 years ago

A prism is completely filled with 2304 cubes that have edge length of 1/4 cm

Mathematics

2 answers:

geniusboy [140]3 years ago

6 0

Answer:

Step-by-step explanation:

babunello [35]3 years ago

3 0

Each cube has a volume of (1/4*1/4*1/4), or (1/64). Next, you take 2304 and divide by one sixteenth. 2304/(1/16)=36864

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Do 2 and 3, please. show all your work

nignag [31]

The answer would be b and c

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3 years ago

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In the figure above, circles A and B are tangent to each other and to the large circle. If the radius of circle A

Ne4ueva [31]

Answer:

The answer to your question is A = 200.96 u²

Step-by-step explanation:

Data

Radius A = 6

Radius B = 2

π = 3.14

Area = ?

Formula

Area = πr²

Process

1.- Calculate the radius of the large circle

Radius = radius of circle A + radius of circle B

Radius = 6 + 2

Radius = 8

2.- Substitute in the formula

Area = (3.14)(8)²

Area = 3.14(64)

Area = 200.96 u²

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4 years ago

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xenn [34]

Please note that in proving this, I have used trigonometric identities other than just the sine angle-addition formula.

5 0

3 years ago

A pencil consists of a cone stacked on top of a cylinder. The diameter of the cylindrical base of the pencil is 10 mm and the he

Anna11 [10]

Answer:

$790\pi\,\,mm^2$

Step-by-step explanation:

Given: The diameter of the cylindrical base of the pencil is 10 mm and the height of the cylinder is 70 mm, while the height of the cone is 12 mm

To find: surface area of the pencil

Solution:

Radius of the cone = Radius of the cylinder (r) = diameter/2 = $\frac{10}{2}=5\,\,mm$

Height of the cylinder (H) = 70 mm

Height of the cone (h) = 12 mm

Slant height of the cone (l) = $\sqrt{r^2+h^2}=\sqrt{5^2+(12)^2}=\sqrt{25+144}=\sqrt{169}=13\,\,mm$

Curved surface area of cone = $\pi rl=\pi (5)(13)=65\,\pi \,\,mm^2$

Surface are of cylinder = curved surface area of cylinder + base area of cylinder

$=2\pi rH+\pi r^2\\=\pi r(2H+r)\\=\pi(5)\left [ 2(70)+5 \right ]\\=5 \pi\left ( 140+5 \right )\\=725\pi\,\,mm^2$

So,

surface area of the pencil = Curved surface area of cone + Surface are of cylinder = $65\pi+725\pi=790\pi\,\,mm^2$

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3 years ago

Draw a isosceles triangle ABC in which AB=AC=6cm and BC=5cm. Construct a triangle PQR similar to triangle ABC in which PQ=8cm. A

xenn [34]

Answer:

See the diagram

Step-by-step explanation:

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4 years ago