Trapezoidal Prism Volume and Area

The video tutorial explains how to find the surface area and volume of a trapezoidal prism. It begins by introducing the trapezoidal base and its properties, including the equal legs and dimensions. The instructor uses the Pythagorean theorem to calculate the height of the trapezoid. The area of the trapezoid is then determined, which is essential for calculating both the surface area and volume of the prism. The surface area is found by adding the areas of the trapezoids and rectangles, while the volume is calculated by multiplying the area of the base by the height of the prism.

What is the first step in finding the surface area and volume of a trapezoidal prism?

• Identify the shape of the base

• Calculate the perimeter

• Find the volume first

• Measure the angles

What characteristic of the trapezoid base is highlighted by the equal marks?

• The bases are equal

• The legs are equal

• The height is equal

• The angles are equal

What is the length of the equal legs of the trapezoid?

• 67

• 53

• 25

• 14

How do you determine the length of the smaller base of the trapezoid?

• Divide the larger base by two

• Subtract the smaller base from the larger base

• Subtract the larger base from the smaller base

• Add the lengths of the legs

Which theorem is used to find the height of the trapezoid?

• Pythagorean theorem

• Thales' theorem

• Binomial theorem

• Fundamental theorem of calculus

What is the length of the larger base of the trapezoid?

• 60

• 25

• 67

• 53

What is the length of the smaller base of the trapezoid?

• 60

• 25

• 53

• 67

What is the formula for the area of a trapezoid?

• Base plus height

• Base minus height

• Sum of bases times height divided by two

• Base times height

What is the calculated height of the trapezoid?

• 53

• 14

• 24

• 25

What is the area of one trapezoid base?

• 1,440 cm²

• 28,800 cm²

• 6,280 cm²

• 2,880 cm²