Calculating Diagonal of a Prism

The video tutorial explains how to calculate the diagonal of a rectangular prism using the Pythagorean theorem. It starts by introducing the dimensions of the prism and then demonstrates the calculation of the first diagonal. The process involves squaring the width and length, adding them, and taking the square root to find the diagonal. The tutorial then moves on to calculate the second diagonal by forming a new triangle with the height and the first diagonal, again using the Pythagorean theorem to find the result.

What are the given dimensions of the rectangular prism?

• Height: 14, Width: 6, Length: 16

• Height: 16, Width: 6, Length: 14

• Height: 6, Width: 14, Length: 16

• Height: 14, Width: 16, Length: 6

Which theorem is used to calculate the diagonal of the base of the prism?

• Binomial theorem

• Pythagorean theorem

• Remainder theorem

• Fundamental theorem of calculus

What is the sum of the squares of the width and length of the base?

• 292

• 256

• 512

• 36

What is the approximate length of the diagonal of the base to the nearest whole number?

• 17

• 18

• 15

• 16

What additional dimension is used to find the diagonal of the entire prism?

• Width

• Length

• Base diagonal

• Height

What is the final step in finding the diagonal of the entire prism?

• Subtracting the height from the base diagonal

• Adding the dimensions together

• Taking the square root of the sum of the squares

• Multiplying the dimensions