Volume and Surface Area of Square-based Pyramids

Front

What does 'P' stand for in the surface area formulas?

Back

P stands for Perimeter of the Base.

Tags

CCSS.7.G.B.6

Front

What is the formula for the volume of a square-based pyramid?

Back

Volume = (1/3) * Base Area * Height.

Tags

CCSS.HSG.GMD.A.3

Front

How do you calculate the area of the base of a square pyramid?

Back

Area = side length × side length.

Tags

CCSS.7.G.B.6

Front

If the side length of the base of a pyramid is 8 cm, what is the area of the base?

Back

Area = 8 cm × 8 cm = 64 cm².

Tags

CCSS.7.G.B.6

Front

What is the formula for the surface area of a square-based pyramid?

Back

Surface Area = Base Area + (1/2) * Perimeter of Base * Slant Height.

Tags

CCSS.7.G.B.6

Front

How do you find the slant height of a square pyramid?

Back

Use the Pythagorean theorem: Slant Height = √(Height² + (Base Side/2)²).

Tags

CCSS.7.G.B.6

Front

What is the perimeter of the base of a square pyramid with a side length of 5 cm?

Back

Perimeter = 4 × side length = 4 × 5 cm = 20 cm.

Tags

CCSS.3.MD.D.8

Front

If a square pyramid has a height of 10 cm and a base side length of 6 cm, what is its volume?

Back

Volume = (1/3) * (6 cm × 6 cm) * 10 cm = 120 cm³.

Tags

CCSS.HSG.GMD.A.3

Front

What is the height of a square pyramid if its volume is 150 cm³ and the base area is 25 cm²?

Back

Height = (3 * Volume) / Base Area = (3 * 150 cm³) / 25 cm² = 18 cm.

Tags

CCSS.HSG.GMD.A.3

Front

What is the surface area of a square pyramid with a base area of 36 cm² and a slant height of 10 cm?

Back

Surface Area = 36 cm² + (1/2) * 24 cm * 10 cm = 36 cm² + 120 cm² = 156 cm².

Tags

CCSS.7.G.B.6