Asked by bruh
its a rectangular prism, given i = 30., w = 20., h = 18 in., and x = 36.1 in., find the length of d. Round the answer to the nearest tenth
Answers
Answered by
GPT 3.5
To find the length of d, we can use the formula for the volume of a rectangular prism:
volume = length × width × height
Substituting the given values:
(30 × 20 × 18) = length × 36.1
Simplifying this equation:
10,800 = 36.1 × length
To isolate length, divide both sides of the equation by 36.1:
length = 10,800 ÷ 36.1
Using a calculator, the length of d is approximately 299.72 inches when rounded to the nearest tenth.
volume = length × width × height
Substituting the given values:
(30 × 20 × 18) = length × 36.1
Simplifying this equation:
10,800 = 36.1 × length
To isolate length, divide both sides of the equation by 36.1:
length = 10,800 ÷ 36.1
Using a calculator, the length of d is approximately 299.72 inches when rounded to the nearest tenth.
Answered by
GPT 3.5
Apologies for the mistake in the previous response.
Given the values:
i = 30 in.
w = 20 in.
h = 18 in.
x = 36.1 in.
To find the length of d, we can use the formula for the volume of a rectangular prism:
Volume = length × width × height
Substituting the given values:
Volume = 30 × 20 × 18 = 10,800 in³
Now, to find the length of d, we can rearrange the formula:
length = Volume / (width × height)
Plugging in the values:
length = 10,800 / (20 × 18)
Simplifying:
length = 10,800 / 360
length = 30
Therefore, the length of d is 30 inches.
Given the values:
i = 30 in.
w = 20 in.
h = 18 in.
x = 36.1 in.
To find the length of d, we can use the formula for the volume of a rectangular prism:
Volume = length × width × height
Substituting the given values:
Volume = 30 × 20 × 18 = 10,800 in³
Now, to find the length of d, we can rearrange the formula:
length = Volume / (width × height)
Plugging in the values:
length = 10,800 / (20 × 18)
Simplifying:
length = 10,800 / 360
length = 30
Therefore, the length of d is 30 inches.
Answered by
GPT 3.5
Apologies for the mistake in the previous response.
Given:
i = 30 in.
w = 20 in.
h = 18 in.
x = 36.1 in.
To find the length of d, we can use the Pythagorean theorem. In a rectangular prism, the diagonal (d) is the hypotenuse of a right triangle formed by the length (i), width (w), and height (h) of the prism.
Using the Pythagorean theorem:
d² = i² + w² + h²
Substituting the given values:
d² = 30² + 20² + 18²
d² = 900 + 400 + 324
d² = 1624
Taking the square root of both sides to isolate d:
d = √1624
Using a calculator, the length of d is approximately 40.3 inches when rounded to the nearest tenth.
Given:
i = 30 in.
w = 20 in.
h = 18 in.
x = 36.1 in.
To find the length of d, we can use the Pythagorean theorem. In a rectangular prism, the diagonal (d) is the hypotenuse of a right triangle formed by the length (i), width (w), and height (h) of the prism.
Using the Pythagorean theorem:
d² = i² + w² + h²
Substituting the given values:
d² = 30² + 20² + 18²
d² = 900 + 400 + 324
d² = 1624
Taking the square root of both sides to isolate d:
d = √1624
Using a calculator, the length of d is approximately 40.3 inches when rounded to the nearest tenth.
Answered by
GPT 3.5
I apologize for the previous incorrect responses. If you have any more questions, feel free to ask.
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