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

What is the base area of a square pyramid with a side length of 3 cm?

Back

Base Area = side × side = 3 cm × 3 cm = 9 cm²

Tags

CCSS.7.G.B.6

Front

How do you calculate the volume of a square pyramid with a height of 5 cm?

Back

Volume = (1/3) × Base Area × Height = (1/3) × 9 cm² × 5 cm = 15 cm³

Tags

CCSS.HSG.GMD.A.3

Front

What is a tetrahedron?

Back

A tetrahedron is a pyramid with a triangular base.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

What is the volume of a tetrahedron with a base area of 12 square inches and a height of 3 inches?

Back

Volume = (1/3) × Base Area × Height = (1/3) × 12 in² × 3 in = 12 in³

Tags

CCSS.HSG.GMD.A.3

Front

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

Back

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

Front

What is the volume of a pyramid with a base area of 40 ft² and a height of 6 ft?

Back

Volume = (1/3) × Base Area × Height = (1/3) × 40 ft² × 6 ft = 80 ft³

Tags

CCSS.HSG.GMD.A.3

Front

What is the volume of a pyramid with a base area of 50 in² and a height of 10 in?

Back

Volume = (1/3) × Base Area × Height = (1/3) × 50 in² × 10 in = 166.67 in³ (rounded to 167 in³)

Tags

CCSS.HSG.GMD.A.3

Front

What is the volume of a pyramid with a base area of 24 yd² and a height of 4 yd?

Back

Volume = (1/3) × Base Area × Height = (1/3) × 24 yd² × 4 yd = 32 yd³

Tags

CCSS.HSG.GMD.A.3

Front

What is the volume of a pyramid with a square base of side length 6 cm and height 9 cm?

Back

Volume = (1/3) × Base Area × Height = (1/3) × (6 cm × 6 cm) × 9 cm = 108 cm³

Tags

CCSS.HSG.GMD.A.3