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
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.
thats wrong
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.
still wrong
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.