Volume of Rectangular & Triangular Pyramids

Front

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

Back

The volume (V) of a rectangular pyramid is given by the formula: V = (1/3) × base area × height.

Tags

CCSS.HSG.GMD.A.3

Front

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

Back

The volume (V) of a triangular pyramid is given by the formula: V = (1/3) × base area × height.

Tags

CCSS.HSG.GMD.A.3

Front

How do you calculate the base area of a rectangle?

Back

The base area of a rectangle is calculated by multiplying its length (l) by its width (w): Base Area = l × w.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

How do you calculate the base area of a triangle?

Back

The base area of a triangle is calculated by the formula: Base Area = (1/2) × base × height.

Tags

CCSS.6.G.A.1

Front

What is the height of a pyramid?

Back

The height of a pyramid is the perpendicular distance from the base to the apex (top point) of the pyramid.

Front

If a rectangular pyramid has a base area of 200 cm² and a height of 30 cm, what is its volume?

Back

V = (1/3) × 200 cm² × 30 cm = 2000 cm³.

Tags

CCSS.HSG.GMD.A.3

Front

If a triangular pyramid has a base area of 150 cm² and a height of 20 cm, what is its volume?

Back

V = (1/3) × 150 cm² × 20 cm = 1000 cm³.

Tags

CCSS.HSG.GMD.A.3

Front

What is the relationship between the volume of a pyramid and its base area and height?

Back

The volume of a pyramid is directly proportional to its base area and height; increasing either will increase the volume.

Tags

CCSS.HSG.GMD.A.3

Front

What units are used to measure volume?

Back

Volume is typically measured in cubic units, such as cm³, m³, or liters.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

How do you round a volume to the nearest whole number?

Back

To round a volume to the nearest whole number, look at the first decimal place: if it's 5 or more, round up; if it's less than 5, round down.

Tags

CCSS.7.EE.B.3