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ehidna [41]
3 years ago
13

A prism is filled with 48 cubes with a side length of 1/2 unit. What is the volume of the prism in cubic units? Please I need he

lp I am so bad at math!!!!!
Mathematics
1 answer:
Aleksandr [31]3 years ago
5 0

Answer:

The volume of the prism is 6 unit³

Step-by-step explanation:

In order to calculate the volume of the prism we first need to calculate the volume of each cube. The volume of a cube is given by the formula below:

volume cube = a³

Where a is the length of the side of the cube. So each cube has a volume of:

volume cube = (1/2)³ = 1/8 unit³

Since the cubes are filling the prism, the volume of the prism is the sum of the volume of all the cubes, in this case 48. Since all the cubes are equal, we can multiply the number of cubes by the volume of one cube in order to calculate the volume of the prism. We have:

volume prism = 48*volume cube

volume prism = 48*(1/8) = 6 unit³

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Answer:

82.79MPa

Step-by-step explanation:

Minimum yield strength for AISI 1040 cold drawn steel as obtained from literature, Sᵧ = 490 MPa

Given, outer radius, r₀ = 25mm = 0.025m, thickness = 6mm = 0.006m, internal radius, rᵢ = 19mm = 0.019m,

Largest allowable stress = 0.8(-490) = -392 MPa (minus sign because of compressive nature of the stress)

The tangential stress, σₜ = - ((r₀²p₀)/(r₀² - rᵢ²))(1 + (rᵢ²/r²))

But the maximum tangential stress will occur on the internal diameter of the tube, where r = rᵢ

σₜₘₐₓ = -2(r₀²p₀)/(r₀² - rᵢ²)

p₀ = - σₜₘₐₓ(r₀² - rᵢ²)/2(r₀²) = -392(0.025² - 0.019²)/2(0.025²) = 82.79 MPa.

Hope this helps!!

8 0
3 years ago
the measurement of one angle of a right angle is 42 degrees what is the measurement of the third angle
kogti [31]
The angles of a triangle all add up to 180°. In fact, it can be generalized that the sum of the interior angles of an n-sided polygon is equal to 180°(n–2). 

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