Prisms

Front

What is a prism?

Back

A prism is a three-dimensional geometric shape with two parallel, congruent bases connected by rectangular faces.

Tags

CCSS.2.G.A.1

CCSS.1.G.A.1

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area × Height.

Tags

CCSS.7.G.B.6

Front

How do you calculate the area of a rectangle?

Back

Area = Length × Width.

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

Front

If a rectangular prism has a length of 6 cm, width of 6 cm, and height of 8 cm, what is its volume?

Back

Volume = 6 cm × 6 cm × 8 cm = 288 cm³.

Tags

CCSS.7.G.B.6

Front

What is the height of a cylinder if the volume is 288 cm³ and the base radius is 6 cm?

Back

Height = Volume / (π × radius²) = 288 / (π × 6²) = 8 cm.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

What is the relationship between the volume of a prism and its dimensions?

Back

The volume of a prism is directly proportional to the area of its base and its height.

Tags

CCSS.7.G.B.6

Front

How do you find the width of a rectangular prism if you know the volume and the other dimensions?

Back

Width = Volume / (Length × Height).

Tags

CCSS.7.G.B.6

Front

What is the volume of a fish tank that is 5 inches wide, 5 inches long, and 4 inches tall?

Back

Volume = Length × Width × Height = 5 in × 5 in × 4 in = 100 in³.

Tags

CCSS.6.G.A.2

CCSS.5.MD.C.5B

Front

What is the significance of rounding in volume calculations?

Back

Rounding is important for precision and to match the required significant figures in measurements.

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × radius² × height.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9