Understanding Trapezoidal Prisms

This video tutorial from Mumo Math explains how to find the surface area and volume of a trapezoidal prism. It begins with an introduction to the properties of a trapezoidal prism, followed by detailed steps to calculate its volume using the formula involving the height and bases of the trapezoid. The tutorial then covers the calculation of the surface area, including the lateral area and base areas. The video concludes with a recap of the calculations and encourages viewers to subscribe for more math tutorials.

What is the shape of the bases in a trapezoidal prism?

• Triangles

• Circles

• Rectangles

• Trapezoids

Which formula is used to calculate the volume of a trapezoidal prism?

• 1/2 times height of trapezoid times sum of bases times height of prism

• Base area times height

• Pi times radius squared times height

• Length times width times height

What is the first step in calculating the volume of a trapezoidal prism?

• Add the lengths of the bases

• Find the perimeter of the base

• Calculate the area of the trapezoid

• Measure the height of the prism

How do you find the lateral area of a trapezoidal prism?

• Divide the volume by the height

• Multiply the base area by the height

• Add the areas of the bases

• Multiply the perimeter by the height of the prism

What is the formula for the base area of a trapezoidal prism?

• Base times height

• 1/2 times height of trapezoid times sum of bases

• Perimeter times height

• Length times width

How many base areas are considered in the total surface area of a trapezoidal prism?

• Three

• Two

• One

• Four

What is the total surface area of the trapezoidal prism in the example?

• 77 units squared

• 58 units squared

• 48 units squared

• 38 units squared

What is the unit of measurement for volume?

• Units

• Units cubed

• Units squared

• Units to the fourth power

What is the unit of measurement for surface area?

• Units squared

• Units

• Units cubed

• Units to the fourth power

What is the final step in calculating the total surface area of a trapezoidal prism?

• Divide the lateral area by the base area

• Multiply the lateral area by the base area

• Subtract the lateral area from the base area

• Add the lateral area and twice the base area