3D Shapes

Front

What is a 3D shape?

Back

A 3D shape, or three-dimensional shape, is a geometric figure that has depth, width, and height, making it occupy space.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

What are the characteristics of a cylinder?

Back

A cylinder has two parallel circular bases connected by a curved surface. It has a height, radius, and volume calculated as V = πr²h.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

What is the formula for the volume of a rectangular prism?

Back

The volume of a rectangular prism is calculated using the formula V = length × width × height.

Tags

CCSS.7.G.B.6

Front

What defines a cone?

Back

A cone is a three-dimensional shape with a circular base that tapers smoothly from the base to a single point called the apex.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

How do you calculate the volume of a cone?

Back

The volume of a cone is calculated using the formula V = (1/3)πr²h, where r is the radius of the base and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the difference between a cylinder and a cone?

Back

A cylinder has two parallel bases and a uniform cross-section, while a cone has a single base and tapers to a point.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

What is a rectangular prism?

Back

A rectangular prism is a three-dimensional shape with six rectangular faces, where opposite faces are equal in area.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

How do you find the surface area of a cylinder?

Back

The surface area of a cylinder is calculated using the formula SA = 2πr(h + r), where r is the radius and h is the height.

Front

What is the surface area formula for a cone?

Back

The surface area of a cone is calculated using the formula SA = πr(r + l), where r is the radius of the base and l is the slant height.

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter of a circle is twice the length of the radius. The formula is d = 2r.

Tags

CCSS.7.G.B.4