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marshall27 [118]
3 years ago
13

Eight sided dice can be described as two square based pyramids stuck together at

Mathematics
1 answer:
kobusy [5.1K]3 years ago
5 0
It costs $3.63 more for the gold die than the gold plated die.

The volume of each half of the die is given by the formula

V=1/3s³.

This means the total volume is V = 2(1/3s³) = 2(1/3(2³)) = 16/3 = 5.33 mm³.

For the solid gold die, we know that it weighs 0.02g per mm³:

5.33(0.02) = 0.1066g

Gold costs $40.38 per gram:
40.38(0.1066) = $4.30

For the plastic die, plastic weighs 0.01 g per mm³:
0.01(5.33) = 0.0533g

Plastic costs $10 per gram:
0.0533(10) = 0.533 ≈ $0.54.

We also need to find the surface area, as it will be painted.  Each face is an equilateral triangle; the area of a triangle is given by the formula

A = 1/2bh

We need to use the Pythagorean theorem to find the height.  The height will be one leg and 1/2 of the base will be the other; the slanted side will be the hypotenuse:

h² + (1/2(2))² = 2²
h² + 1² = 2²
h² + 1 = 4
h² = 3
h = √3

The area of the triangle would then be A = 1/2bh = 1/2(2)(√3) = √3.  There are 8 such faces on the die, so the total surface area would be 8√3 = 13.86mm².

Paint costs $0.01 per mm²:
13.86(0.01) = 0.1386 ≈ $0.14

Together the cost for the plastic is 0.14+0.53 = $0.67.

The difference between it and the cost for the gold die is 4.30 - 0.67 = $3.63.
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Answer:

18ways

Step-by-step explanation:

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Please answer this correctly is the answer <br> 2:29am<br> 3:29am<br> 1:35am<br> 6:29am
Lady bird [3.3K]

Answer:

2:29 AM

Step-by-step explanation:

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3 years ago
What is the difference in the surface area of two cubes, one with edge 15 and one with an edge of 12
Lilit [14]

Remark

A cube has six sides, all of them equal. The formula for 1 side is s^2. The formula for all six = 6s^2.


Step One

Find the surface area of the larger cube.

Area = 6 *s^2

s = 15

Area = 6 *15^2

Area = 6 * 225

Area = 1350


Step Two

Find the area of the smaller cube

Area = 6s^2

Area = 6 * 12^2

Area = 6 * 144

Area = 864


Step Three

Find the difference

Area1 - Area2 = difference

1350 - 864 = 486

The difference is area = 486 units^2 <<<<< Answer


There is a slightly shorter way. Take out the common factor of 6

Difference = 6 * (15^2 - 12^2)

Difference = 6 * (225 - 144)

Difference = 6 * (81)

Difference = 486

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3 years ago
Jeremy rides a Ferris wheel. The graph shows h, Jeremy’s height above the ground at any time during the ride. Which inequality r
geniusboy [140]

Answer:

10 \leq h\leq 50

Step-by-step explanation:

Jeremy rides a Ferris wheel. The graph shows h, Jeremy’s height above the ground at any time during the ride

Number line represents the height above the ground at any time during the ride.

the shaded part of the graph lies between 10 and 50, also we have solid dot at 10 and 50.

So height of the inequality is

10 \leq h\leq 50

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Math Help? 20 Points
Pachacha [2.7K]

V= LWH so 3.75cm^3 or 3 (3/4)


Multiply those three sides and it comes out to 3.75


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3 years ago
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