Surface Area and Volume Assessment

The video tutorial covers the classification and calculation of surface area and volume for various 3D shapes, including pyramids, prisms, cylinders, cones, and spheres. It provides detailed instructions on how to solve problems related to these shapes, emphasizing the importance of understanding geometric properties and formulas. The tutorial also discusses composite figures and the concept of similarity in geometry. Students are encouraged to take notes and follow along to achieve a passing score on the Ed puzzle test.

What is required to receive full credit for the quiz?

• Watch the video tutorial without taking notes.

• Email the instructor for the passcode.

• Score at least 75 on the Ed puzzle.

• Submit all work, including calculations and sketches.

What shape is a pyramid named after?

• Its height.

• The number of its edges.

• The shape of its base.

• Its vertex shape.

How do you calculate the total surface area of a rectangular prism?

• 2(Length + Width) + Height

• Perimeter of base x Height + 2 x Area of base

• 2(Length + Width + Height)

• Length x Width x Height

What formula is used to find the volume of a cylinder?

• 2Pi x Radius x Height

• Pi x Radius squared x Height

• Pi x Radius x Height

• Pi x Diameter squared

How is the lateral surface area of a cone approximated?

• Pi x Radius x Slant Height

• Pi x Radius squared

• 2Pi x Radius x Height

• Pi x (Radius + Slant Height)

What is the volume of a cone with a radius of 3 and a height of 4?

• 9Pi cubic units

• 4Pi cubic units

• 36Pi cubic units

• 12Pi cubic units

Which expression finds the lateral surface area of a square pyramid?

• 2 x Base Area + Perimeter of base x Height

• 1/2 x Perimeter of base x Slant Height

• Base Area x Height

• Perimeter of base x Height

How does the volume of a scaled-up box compare to the original if the scale factor is 3?

• 27 times larger

• 3 times larger

• 6 times larger

• 9 times larger

What shape is the cross section of the figure described as obliquely cut?

• Parabola

• Circle

• Triangle

• Ellipse

What 2D shape, when rotated around an axis, forms a cone?

• Square

• Circle

• Rectangle

• Triangle