Exploring Volume and Surface Area of Triangular Prisms

The video tutorial covers the calculation of the area of triangles and rectangles, including the use of circumference for rectangles. It explains the volume and surface area calculations for triangular prisms, emphasizing the concept of stacking triangles. The tutorial also includes complex volume calculations and provides practice problems to reinforce the concepts taught.

What is the area of a triangle with a base of 12 units and a height of 6 units?

• 36 square units

• 18 square units

• 72 square units

• 24 square units

Tags

CCSS.6.G.A.1

How do you calculate the volume of a stack of triangular slices?

• Length of the stack times width of the base

• Sum of the areas of all triangles

• Base of the rectangle times height

• Area of the base triangle times the height of the stack

Tags

CCSS.7.G.B.6

What is the area of a rectangle with a length of 20 units and a width of 37.68 units?

• 753.6 square units

• 750 square units

• 760 square units

• 700 square units

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the volume of a triangular prism with a base area of 14 square units and a height of 9 units?

• 130 cubic units

• 123 cubic units

• 136 cubic units

• 126 cubic units

Tags

CCSS.7.G.B.6

If the base of a triangle is 4 units and the height is 7 units, what is the area?

• 11 square units

• 21 square units

• 28 square units

• 14 square units

Tags

CCSS.6.G.A.1

How many surfaces does a triangular prism have?

• 3 surfaces

• 4 surfaces

• 6 surfaces

• 5 surfaces

Tags

CCSS.6.G.A.4

What is the total surface area of a triangular prism with two triangular faces of 14 square units each, and three rectangular faces with areas of 63, 45, and 45 square units?

• 200 square units

• 181 square units

• 174 square units

• 190 square units

Tags

CCSS.7.G.B.6

What is the correct method to calculate the volume of a tipped-over triangular stack?

• Consider each slice as a triangle regardless of orientation

• Calculate as if each slice is a rectangle

• Only consider visible triangles

• Ignore the orientation and calculate as a rectangle

For a triangular layer with a base of 3 units and a hidden height of 4 units, what is the area?

• 6 square units

• 12 square units

• 8 square units

• 10 square units

Tags

CCSS.6.G.A.1

What is the volume of a structure with a base layer area of 12 square units and a stack height of 8 units?

• 100 cubic units

• 110 cubic units

• 104 cubic units

• 96 cubic units

Tags

CCSS.7.G.B.6