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

True or False: To find the volume of a rectangular pyramid, you must first find the area of the rectangular base, multiply by the height, and then divide by 3.

Back

True

Tags

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a rectangular pyramid with a base area of 36 square meters and a height of 9 meters.

Back

Volume = (36 × 9) / 3 = 108 m³

Tags

CCSS.HSG.GMD.A.3

Front

What is the area of the base of a rectangular pyramid with length 8 units and width 5 units?

Back

Area = Length × Width = 8 × 5 = 40 square units

Tags

CCSS.3.MD.D.8

Front

If the base area of a rectangular pyramid is 50 square feet and the height is 12 feet, what is the volume?

Back

Volume = (50 × 12) / 3 = 200 ft³

Tags

CCSS.HSG.GMD.A.3

Front

What does the term 'base area' refer to in the context of a pyramid?

Back

Base area refers to the area of the shape that forms the bottom of the pyramid.

Tags

CCSS.7.G.B.6

Front

How do you calculate the area of a rectangle?

Back

Area = Length × Width

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

Front

If a rectangular pyramid has a base area of 64 square inches and a height of 4 inches, what is its volume?

Back

Volume = (64 × 4) / 3 = 85.33 in³ (rounded to 85 in³)

Tags

CCSS.HSG.GMD.A.3

Front

What is the height of a rectangular pyramid if its volume is 48 cubic meters and the base area is 12 square meters?

Back

Height = (Volume × 3) / Base Area = (48 × 3) / 12 = 12 meters

Tags

CCSS.HSG.GMD.A.3

Front

True or False: The volume of a pyramid is always greater than the volume of a prism with the same base area and height.

Back

False

Tags

CCSS.HSG.GMD.A.3