Calculating Surface Area of a Rectangular Pyramid

The video tutorial by Mr. J explains how to find the surface area of a rectangular pyramid. It begins with an introduction to the concept of surface area and the structure of a rectangular pyramid, which includes a base and four lateral triangular faces. The tutorial then demonstrates how to calculate the area of the base using the formula for a rectangle and the areas of the lateral faces using the formula for triangles. The video uses a net to visualize the pyramid's faces and organizes the calculated areas before summing them to find the total surface area. The final surface area is calculated to be 166.32 square meters.

What is the total number of faces on a rectangular pyramid?

• 6

• 5

• 3

• 4

Tags

CCSS.7.G.B.6

Which formula is used to calculate the area of the base of a rectangular pyramid?

• Length / Width

• 2 x (Length + Width)

• Length x Width

• Length + Width

Tags

CCSS.7.G.B.6

What are the dimensions of the base used in the example?

• Length 9m, Width 5m

• Length 10m, Width 5m

• Length 5m, Width 9m

• Length 8m, Width 5m

Tags

CCSS.7.G.B.6

Which statement is true about the base of the pyramid in the example?

• It is a rectangle

• It is a circle

• It is a square

• It is a triangle

Tags

CCSS.7.G.A.3

How many different slant heights are there in the example?

• Four

• Three

• Two

• One

Tags

CCSS.7.G.B.6

What is the area of the top and bottom lateral faces?

• 22.95 square meters

• 30 square meters

• 45 square meters

• 37.71 square meters

Tags

CCSS.7.G.B.6

What is the area of the left and right lateral faces?

• 22.95 square meters

• 30 square meters

• 37.71 square meters

• 45 square meters

Tags

CCSS.7.G.B.6

What does the net of a 3D shape help with?

• Measuring density

• Visualizing all faces

• Calculating weight

• Understanding internal volume

Tags

CCSS.6.G.A.4

How is the total surface area of the pyramid calculated?

• Sum of all lateral faces

• Base area plus lateral area

• None of the above

• Multiplying base area with height

Tags

CCSS.7.G.B.6

What is the total surface area of the pyramid in the example?

• 166.32 square meters

• 150 square meters

• 175.32 square meters

• 160 square meters

Tags

CCSS.7.G.B.6