Volume of Rectangular Pyramids

Front

What is the formula to find the volume of a rectangular pyramid?

Back

Volume = (Area of base × Height) / 3

Tags

CCSS.HSG.GMD.A.3

Front

What is the area of a rectangle with length 4 cm and width 3 cm?

Back

Area = Length × Width = 4 cm × 3 cm = 12 cm²

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

If the base of a rectangular pyramid has an area of 20 cm² and the height is 9 cm, what is the volume?

Back

Volume = (20 cm² × 9 cm) / 3 = 60 cm³

Tags

CCSS.HSG.GMD.A.3

Front

What is the volume of a square pyramid with a base side length of 4 cm and height of 6 cm?

Back

Volume = (Base Area × Height) / 3 = (4 cm × 4 cm × 6 cm) / 3 = 32 cm³

Tags

CCSS.HSG.GMD.A.3

Front

What is the height of a rectangular pyramid if the volume is 90 cm³ and the base area is 30 cm²?

Back

Height = (Volume × 3) / Base Area = (90 cm³ × 3) / 30 cm² = 9 cm

Tags

CCSS.HSG.GMD.A.3

Front

True or False: The volume of a pyramid is always one-third of the volume of a prism with the same base and height.

Back

True

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 = (50 cm² × 12 cm) / 3 = 200 cm³

Tags

CCSS.HSG.GMD.A.3

Front

If a rectangular pyramid has a base length of 5 cm, width of 3 cm, and height of 4 cm, what is its volume?

Back

Volume = (5 cm × 3 cm × 4 cm) / 3 = 20 cm³

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 and height.

Tags

CCSS.HSG.GMD.A.3

Front

Find the volume of a rectangular pyramid with a base area of 24 cm² and a height of 5 cm.

Back

Volume = (24 cm² × 5 cm) / 3 = 40 cm³

Tags

CCSS.HSG.GMD.A.3