Volume of Pyramids

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) × Base Area × Height

Tags

CCSS.HSG.GMD.A.3

Front

Define 'Base Area' in the context of a pyramid.

Back

Base Area is the area of the base shape of the pyramid, which can be a triangle, square, or any polygon.

Tags

CCSS.7.G.B.6

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

How do you calculate the area of a square base?

Back

Area = side × side (s^2) where 's' is the length of one side.

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

Front

How do you calculate the area of a triangular base?

Back

Area = (1/2) × base × height of the triangle.

Tags

CCSS.6.G.A.1

Front

What is the volume of a pyramid with a square base of side 4 cm and height 9 cm?

Back

Volume = (1/3) × (4 cm × 4 cm) × 9 cm = 48 cm³.

Tags

CCSS.HSG.GMD.A.3

Front

If a pyramid has a base area of 50 m² and a height of 12 m, what is its volume?

Back

Volume = (1/3) × 50 m² × 12 m = 200 m³.

Tags

CCSS.HSG.GMD.A.3

Front

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

Back

The volume of a pyramid is one-third the volume of a prism with the same base area and height.

Tags

CCSS.HSG.GMD.A.3

Front

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

Back

Look at the decimal part: if it's 0.5 or higher, round up; if it's less than 0.5, round down.

Tags

CCSS.7.EE.B.3

Front

What is the volume of a pyramid with a triangular base of area 20 in² and height 6 in?

Back

Volume = (1/3) × 20 in² × 6 in = 40 in³.

Tags

CCSS.HSG.GMD.A.3