Volume and Surface Area of Prisms and Pyramids

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area × Height

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) × Base Area × Height

Front

What is the volume of a rectangular prism with dimensions 10 cm × 8 cm × 14 cm?

Back

Volume = 10 cm × 8 cm × 14 cm = 1120 cm³

Front

What is the volume of a triangular pyramid with a base area of 30 cm² and a height of 12 cm?

Back

Volume = (1/3) × 30 cm² × 12 cm = 120 cm³

Front

How do you find the surface area of a rectangular prism?

Back

Surface Area = 2(lw + lh + wh) where l = length, w = width, h = height.

Front

What is the surface area of a cube with a side length of 5 cm?

Back

Surface Area = 6 × (5 cm)² = 150 cm²

Front

What is the volume of a rectangular pyramid with a base area of 50 cm² and a height of 10 cm?

Back

Volume = (1/3) × 50 cm² × 10 cm = 166.67 cm³

Front

If a triangular base has a height of 6 cm and a base length of 4 cm, what is the area of the base?

Back

Base Area = (1/2) × base × height = (1/2) × 4 cm × 6 cm = 12 cm²

Front

What is the volume of a cone with a radius of 3 cm and a height of 9 cm?

Back

Volume = (1/3) × π × (3 cm)² × 9 cm = 27π cm³ ≈ 84.82 cm³

Front

What is the formula for the surface area of a pyramid?

Back

Surface Area = Base Area + (1/2) × Perimeter × Slant Height