Surface area of pyramids and cones

Front

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

Back

The surface area (SA) of a pyramid is given by the formula: SA = B + rac{1}{2} imes P imes l, where B is the area of the base, P is the perimeter of the base, and l is the slant height.

Tags

CCSS.7.G.B.6

Front

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

Back

The surface area (SA) of a cone is given by the formula: SA = rac{1}{2} imes P imes l + B, where P is the circumference of the base, l is the slant height, and B is the area of the base.

Front

How do you calculate the area of a circle?

Back

The area (A) of a circle is calculated using the formula: A = ext{π} imes r^2, where r is the radius of the circle.

Tags

CCSS.7.G.B.4

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter (d) of a circle is twice the radius (r): d = 2r.

Tags

CCSS.7.G.B.4

Front

What is the perimeter of a base of a pyramid?

Back

The perimeter (P) of the base of a pyramid is the total length of all sides of the base shape.

Tags

CCSS.3.MD.D.8

Front

What is the slant height of a pyramid?

Back

The slant height (l) of a pyramid is the distance from the apex (top point) of the pyramid to the midpoint of one of the sides of the base.

Tags

CCSS.7.G.B.6

Front

How do you find the surface area of a square pyramid?

Back

To find the surface area of a square pyramid, use the formula: SA = s^2 + 2 imes s imes l, where s is the length of a side of the base and l is the slant height.

Tags

CCSS.7.G.B.6

Front

What is the formula for the circumference of a circle?

Back

The circumference (C) of a circle is calculated using the formula: C = 2 imes ext{π} imes r, where r is the radius.

Tags

CCSS.7.G.B.4

Front

How do you round a number to the nearest tenth?

Back

To round a number to the nearest tenth, look at the hundredths place. If it is 5 or greater, round up the tenths place by one. If it is less than 5, keep the tenths place the same.

Tags

CCSS.5.NBT.A.4

Front

What is the surface area of a cone with a radius of 3 cm and a slant height of 5 cm?

Back

Using the formula SA = rac{1}{2} imes P imes l + B, where P = 2 imes ext{π} imes r = 6 ext{π} and B = ext{π} imes r^2 = 9 ext{π}, the surface area is SA = 3 ext{π} + 9 ext{π} = 12 ext{π} cm², approximately 37.7 cm².