Diagonal Lengths in Prisms

The video tutorial explains how to calculate the length of a diagonal in a rectangular prism. It involves a multi-step process using the Pythagorean theorem. First, the diagonal across the base is calculated using a right triangle with sides 4 and 8. Then, another right triangle is used to find the final diagonal length, incorporating an additional side length of 2. The final answer is the square root of 84.

What is the first step in finding the diagonal length in the prism?

• Calculate the volume of the prism

• Identify a right triangle with sides 4 and 8

• Measure the height of the prism

• Find the area of the base

What is the length of the diagonal across the base of the prism?

• Square root of 64

• Square root of 84

• Square root of 80

• Square root of 100

Which additional side length is used to form the second right triangle?

• 6

• 2

• 5

• 3

What is the final length of the diagonal from the top left to the bottom right of the prism?

• Square root of 84

• Square root of 100

• Square root of 80

• Square root of 64

Which theorem is used to calculate the diagonal lengths in the prism?

• Pythagorean theorem

• Binomial theorem

• Fundamental theorem of calculus

• Theorem of relativity