Volume of PYRAMIDS

Front

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

Back

Volume = (1/3) × Base Area × Height

Tags

CCSS.HSG.GMD.A.3

Front

What is the base area of a triangular pyramid with a base of 12 inches and a height of 16 inches?

Back

Base Area = (1/2) × base × height = (1/2) × 12 × 16 = 96 square inches.

Front

If a pyramid has a height of 10 cm and a square base with a side length of 4 cm, what is its volume?

Back

Volume = (1/3) × Base Area × Height = (1/3) × (4 × 4) × 10 = 53.33 cm³.

Tags

CCSS.HSG.GMD.A.3

Front

What is the volume of a pyramid with a base area of 50 m² and a height of 3 m?

Back

Volume = (1/3) × 50 × 3 = 50 m³.

Tags

CCSS.HSG.GMD.A.3

Front

How do you round the volume of a pyramid 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 square pyramid with a base side of 6 cm and a height of 9 cm?

Back

Volume = (1/3) × (6 × 6) × 9 = 108 cm³.

Tags

CCSS.HSG.GMD.A.3

Front

What is the height of a pyramid if its volume is 72 m³ and the base area is 24 m²?

Back

Height = (Volume × 3) / Base Area = (72 × 3) / 24 = 9 m.

Tags

CCSS.HSG.GMD.A.3

Front

What is the volume of a pyramid with a triangular base area of 30 cm² and a height of 5 cm?

Back

Volume = (1/3) × 30 × 5 = 50 cm³.

Tags

CCSS.HSG.GMD.A.3

Front

If a pyramid has a volume of 192 ft³ and a base area of 48 ft², what is its height?

Back

Height = (Volume × 3) / Base Area = (192 × 3) / 48 = 12 ft.

Tags

CCSS.HSG.GMD.A.3

Front

What is the volume of a pyramid with a base area of 20 in² and a height of 10 in?

Back

Volume = (1/3) × 20 × 10 = 66.67 in³.

Tags

CCSS.HSG.GMD.A.3