Surface Area of Prisms and Shapes

In this video tutorial, Kita explains how to determine the surface area of a composite object consisting of a triangular prism over a rectangular prism. The tutorial begins with an introduction to the problem and then proceeds to calculate the surface area of the rectangular prism by considering all its sides, excluding the overlapping top face. Next, the surface area of the triangular prism is calculated by finding the area of its two triangles and side faces. Finally, the total surface area of the entire object is obtained by summing the surface areas of both prisms. The tutorial concludes with a brief summary and an invitation for feedback.

What is the total length of the object described in the video?

• 10 cm

• 6 cm

• 8 cm

• 4 cm

Which face of the rectangular prism is not included in the surface area calculation?

• Front face

• Back face

• Top face

• Bottom face

How is the surface area of the front and back faces of the rectangular prism calculated?

• Twice the length times width

• Width times height

• Length times height

• Length times width

What is the base length of the triangles in the triangular prism?

• 4 cm

• 6 cm

• 8 cm

• 10 cm

What is the height of the triangles in the triangular prism?

• 8 cm

• 4 cm

• 3 cm

• 6 cm

How is the area of the side face of the triangular prism calculated?

• Twice the base times height

• Width times height

• Length times width

• Base times height

What is the total surface area of the rectangular prism?

• 112 cm²

• 128 cm²

• 96 cm²

• 144 cm²

What is the total surface area of the triangular prism?

• 64 cm²

• 112 cm²

• 96 cm²

• 48 cm²

What is the combined surface area of the entire object?

• 208 cm²

• 192 cm²

• 192 cm

• 208 cm

Which two shapes are combined to form the object in the video?

• A rectangular prism and a triangular prism

• Two triangular prisms

• Two rectangular prisms

• A cube and a triangular prism