Volume

Front

What is volume?

Back

Volume is the amount of space occupied by a three-dimensional object, measured in cubic units.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

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

Back

Volume = length × width × height.

Tags

CCSS.7.G.B.6

Front

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

Back

Volume = (Base Area × Height) of the prism.

Tags

CCSS.7.G.B.6

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

Front

What is the value of π (pi) used in volume calculations?

Back

π (pi) is approximately 3.14.

Tags

CCSS.HSG.GMD.A.1

Front

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

Back

Volume = (Base Area × Height) / 3.

Tags

CCSS.HSG.GMD.A.3

Front

How do you convert cm² to cm³?

Back

You cannot convert cm² to cm³ directly; cm² measures area, while cm³ measures volume.

Front

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

Back

The volume of a cylinder increases with the square of the radius and linearly with the height.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

What is the volume of a cube with a side length of 4 cm?

Back

Volume = 4 cm × 4 cm × 4 cm = 64 cm³.

Tags

CCSS.6.G.A.2

CCSS.5.MD.C.5B

Front

If the radius of a cylinder is doubled, how does the volume change?

Back

The volume increases by a factor of four (2²) if the height remains the same.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9