Volume and Surface Area of Square-based Pyramids

Front

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

Back

SA = ½lp + B, where l is the slant height and B is the area of the base.

Tags

CCSS.7.G.B.6

Front

In surface area formulas, what does B represent?

Back

B represents the base area of the pyramid.

Tags

CCSS.7.G.B.6

Front

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

Back

P stands for the perimeter of the base of the pyramid.

Tags

CCSS.7.G.B.6

Front

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

Back

Volume = (1/3)Bh, where B is the area of the base and h is the height.

Tags

CCSS.HSG.GMD.A.3

Front

If the base of a square pyramid has a side length of 4 cm, what is the area of the base?

Back

Base area (B) = side × side = 4 cm × 4 cm = 16 cm².

Tags

CCSS.7.G.B.6

Front

How do you calculate the slant height of a square-based pyramid?

Back

Use the Pythagorean theorem: l = √(h² + (s/2)²), where h is the height and s is the side length of the base.

Tags

CCSS.7.G.B.6

Front

What is the total surface area of a square-based pyramid with a base area of 25 m² and a slant height of 6 m?

Back

SA = ½lp + B = ½(4 × 6) + 25 = 12 + 25 = 37 m².

Tags

CCSS.7.G.B.6

Front

If a square pyramid has a height of 9 cm and a base side length of 6 cm, what is its volume?

Back

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

Tags

CCSS.HSG.GMD.A.3

Front

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

Back

The slant height is the hypotenuse of the right triangle formed by the height and half the base length.

Tags

CCSS.7.G.B.6

Front

If the perimeter of the base of a square pyramid is 20 m, what is the length of one side?

Back

Length of one side = Perimeter / 4 = 20 m / 4 = 5 m.

Tags

CCSS.3.MD.D.8