Volume of Rectangular Pyramids

Front

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

Back

Volume = (1/3) × Base Area × Height

Tags

CCSS.HSG.GMD.A.3

Front

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

Back

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

Tags

CCSS.HSG.GMD.A.3

Front

What is the base area of a rectangular pyramid with a length of 10 cm and a width of 5 cm?

Back

Base Area = Length × Width = 10 cm × 5 cm = 50 cm²

Tags

CCSS.7.G.B.6

Front

How does the height of a pyramid affect its volume?

Back

The height directly affects the volume; increasing the height increases the volume.

Tags

CCSS.HSG.GMD.A.3

Front

What is the volume of a rectangular pyramid with a base area of 100 cm² and a height of 15 cm?

Back

Volume = (1/3) × 100 cm² × 15 cm = 500 cm³

Tags

CCSS.HSG.GMD.A.3

Front

If a rectangular pyramid has a volume of 600 cm³ and a base area of 120 cm², what is its height?

Back

Height = (3 × Volume) / Base Area = (3 × 600 cm³) / 120 cm² = 15 cm

Tags

CCSS.HSG.GMD.A.3

Front

What is the volume of a rectangular pyramid with a base area of 50 cm² and a height of 12 cm?

Back

Volume = (1/3) × 50 cm² × 12 cm = 200 cm³

Tags

CCSS.HSG.GMD.A.3

Front

If the volume of a rectangular pyramid is 900 cm³ and the height is 30 cm, what is the base area?

Back

Base Area = (3 × Volume) / Height = (3 × 900 cm³) / 30 cm = 90 cm²

Tags

CCSS.HSG.GMD.A.3

Front

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

Back

The volume is directly proportional to the base area; larger base areas yield larger volumes.

Tags

CCSS.HSG.GMD.A.3

Front

What is the volume of a rectangular pyramid with a base area of 80 cm² and a height of 10 cm?

Back

Volume = (1/3) × 80 cm² × 10 cm = 266.67 cm³

Tags

CCSS.HSG.GMD.A.3