Given t = 30 in., w = 20 in., h = 18 in., and × = 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 diagonal of a rectangular prism:
d = √(t² + w² + h²)
Plugging in the given values, we have:
d = √(30² + 20² + 18²)
= √(900 + 400 + 324)
= √1624
≈ 40.3
Therefore, the length of d is approximately 40.3 inches.
That is…actually correct. Thank you
To find the length of d, we can use the formula for the volume of a rectangular prism, which is given by V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
In this case, we know that the volume, V, is 36.1 in^3. We also know that the width, w, is 20 in., and the height, h, is 18 in. Therefore, we can rearrange the formula to solve for the length, l:
l = V / (w * h)
Plugging in the values we know, we have:
l = 36.1 in^3 / (20 in. * 18 in.)
Calculating this expression gives us:
l ≈ 0.1003 in.
Rounding to the nearest tenth, we find that the length of d is approximately 0.1 in.