Register
The rectangular prism shown has a length of 12 cm, a width of 12 cm, and a height of 8 cm. Find the length of the inner diagonal (AD) of the prism. Note that (AD) is the hypotenuse of right triangle ACD.
52.8k views
0 votes
The rectangular prism shown has a length of 12 cm, a width of 12 cm, and a height of 8 cm. Find the length of the inner diagonal (AD) of the prism. Note that (AD) is the hypotenuse of right triangle ACD. (Round your answer to the nearest hundredth.)

The rectangular prism shown has a length of 12 cm, a width of 12 cm, and a height-example-1
User Greggyb
by
7.5k points

2 Answers

4 votes
I hope this helps you
The rectangular prism shown has a length of 12 cm, a width of 12 cm, and a height-example-1
User Dominic P
by
7.9k points
4 votes
This is simply where you apply the Pythagorean equation twice.

Find the base hypotenuse by Pythagorean equation.
h² = 12² + 12² = 288

Then find the inner diagonal using that and the height.
D² = h² + 8²
D² = 288 + 64
D = √352
simplify to 4√22
appx 18.76cm
User Milad Rashidi
by
8.0k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.5m questions

12.2m answers

Other Questions

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Link Copied!