Exploring Volume of Prisms and Pyramids

The video tutorial covers the classification of solid figures into those with polygonal and curved surfaces. It explains polyhedrons and platonic solids, detailing their properties. The tutorial then focuses on calculating the volume of prisms and pyramids, providing examples and formulas for each. The relationship between the volume of a pyramid and a prism with the same base and height is also discussed.

What are polyhedrons?

• Solid figures with curved surfaces

• Solid figures with polygonal faces

• Two-dimensional shapes

• Figures with only triangular faces

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Which solid is not a Platonic solid?

• Tetrahedron

• Cylinder

• Icosahedron

• Cube

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

How do you calculate the volume of a prism?

• Subtract the height from the area of the base

• Multiply the area of the base by the height

• Divide the area of the base by the height

• Add the area of the base to the height

Tags

CCSS.7.G.B.6

What is the volume of a prism with a base area of 10 square units and height of 5 units?

• 50 cubic units

• 15 cubic units

• 2 cubic units

• 5 cubic units

Tags

CCSS.7.G.B.6

What is the relationship between the volume of a pyramid and a prism with the same base and height?

• Volume of the pyramid is the same as that of the prism

• Volume of the pyramid is one-third that of the prism

• Volume of the pyramid is half that of the prism

• Volume of the pyramid is twice that of the prism

Tags

CCSS.HSG.GMD.A.3

How do you calculate the volume of a pyramid?

• Area of the base minus height

• Area of the base plus height divided by two

• Area of the base times height

• Area of the base times height divided by three

Tags

CCSS.HSG.GMD.A.3

What is the volume of a pyramid with a base area of 12 square units and height of 9 units?

• 27 cubic units

• 4 cubic units

• 108 cubic units

• 36 cubic units

Tags

CCSS.HSG.GMD.A.3

What unit is used to measure the volume of three-dimensional objects?

• Cubic units

• Square units

• Linear units

• Kilograms

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

What is the correct formula for the volume of a square base pyramid with side 7 inches and height 15 inches?

• 7 * 7 * 15 cubic inches

• 7 + 7 + 15 cubic inches

• 7 * 7 * 15 / 3 cubic inches

• 7 * 15 / 2 cubic inches

Tags

CCSS.HSG.GMD.A.3

Why is it important to use the correct unit of measurement in volume calculations?

• To ensure accuracy in calculations

• All of the above

• To make it easier to read

• To comply with mathematical standards

Tags

CCSS.3.MD.A.2