PLSPLS HELP A rectangular prism is filled with 256 cubes with an edge length of 1/4 cm. What is the volume of this prism? A rectangular prism is filled with 256 cubes with an edge length of 1/4 cm. What is the volume of this prism?

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Ответ:

danksans7011

21.09.2021

Mathematics

The number of seconds required to complete 7 revolutions is 236.28 s.

Step-by-step explanation:

Given;

speed of the point on the wheel, ω = 32π/9 rad/min

number of revolutions made by the point, θ = 7 rev

The time taken for the point to make 7 revolutions is calculated as follows;

1 rev = 2π rad

$time (t) = \frac{\theta }{\omega} = \theta \ \times \frac{1}{\omega} \\\\t = (7 \ rev \ \times \frac{2 \pi \ rad}{1 \ rev} ) \ \times (\frac{1}{32 \pi/9 \ \frac{rad}{\min} } )\\\\t = (7 \times 2\pi \ \ rad) \times (\frac{9}{32 \pi }\frac{\min}{rad}) \\\\t = 14 \pi \ (rad) \ \times \ \frac{9}{32 \pi}\ (\frac{\min}{rad} )\\\\t = \frac{14 \times 9}{32} \ \min\\\\t = 3.938 \ \min\\\\t = 3.938 \ (\min) \times \frac{60 \ s}{1 \ \min} \\\\t = 236.28 \ s$

Therefor, the number of seconds required to complete 7 revolutions is 236.28 s.

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PLSPLS HELP A rectangular prism is filled with 256 cubes with an edge length of 1/4 cm. What is the volume of this prism? A rectangular prism is filled with 256 cubes with an edge length of 1/4 cm. What is the volume of this prism?​