8.02 flashcard Volume of Pyramids and Cones

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) × Base Area × Height

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × π × r² × Height

Front

How do you calculate the base area of a triangle?

Back

Base Area = (1/2) × Base × Height

Front

What is the value of π (pi) commonly approximated as?

Back

π ≈ 3.14

Front

How do you round a number to the nearest hundredth?

Back

Look at the third decimal place; if it's 5 or more, round up the second decimal place.

Front

What is the volume of a cone with a radius of 3 cm and a height of 5 cm?

Back

Volume = (1/3) × π × (3)² × (5) = 47.13 cm³ (using π ≈ 3.14)

Front

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

Back

Volume = (1/3) × (4 × 4) × 6 = 32 cm³

Front

If the radius of a cone is doubled, how does the volume change?

Back

The volume increases by a factor of 4 (since volume is proportional to the square of the radius).

Front

What is the relationship between the height and volume of a pyramid?

Back

Volume is directly proportional to height; if height increases, volume increases.

Front

How do you convert cubic centimeters to cubic meters?

Back

1 m³ = 1,000,000 cm³; divide the volume in cm³ by 1,000,000.