Calculating Rectangular Prism Properties

This video tutorial explains how to calculate the surface area of a rectangular prism by considering the areas of all six faces. It provides a step-by-step guide to setting up the equation and performing the calculations. Additionally, it covers how to find the diagonal length of the prism using the Pythagorean theorem, offering a practical example with specific dimensions.

What are the dimensions of the rectangular prism discussed in the lesson?

• 12 inches, 5 inches, 3 inches

• 10 inches, 4 inches, 6 inches

• 8 inches, 5 inches, 2 inches

• 15 inches, 7 inches, 3 inches

How many faces does a rectangular prism have?

• 4

• 8

• 6

• 5

Which formula represents the area of the two identical faces with width and height?

• 2wh

• wh

• lw

• 2lw

What is the total surface area of the rectangular prism calculated in the lesson?

• 250 square units

• 222 square units

• 200 square units

• 150 square units

What is the first step in calculating the diagonal length of the rectangular prism?

• Calculate the area of one face

• Draw a right triangle

• Find the volume

• Measure the height

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

• Pythagorean theorem

• Binomial theorem

• Fermat's Last Theorem

• Fundamental theorem of calculus

What is the formula for the diagonal length in terms of width, length, and height?

• d = w² + l² + h²

• d = w + l + h

• d = √(w² + l² + h²)

• d = w * l * h

What is the calculated diagonal length of the rectangular prism?

• 12.34 units

• 15.34 units

• 13.34 units

• 14.34 units

What is the value of 5 squared used in the diagonal calculation?

• 30

• 20

• 15

• 25

What is the sum of 25, 144, and 9 in the diagonal calculation?

• 168

• 169

• 179

• 178