Surface Area

Front

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

Back

The surface area (A) of a sphere is given by the formula A = 4πr², where r is the radius.

Front

How do you find the radius of a sphere given its surface area?

Back

To find the radius (r) from the surface area (A), use the formula r = √(A/(4π)).

Front

What is the surface area of a cylinder?

Back

The surface area (A) of a cylinder is given by the formula A = 2πr(h + r), where r is the radius and h is the height.

Front

What is the surface area of a rectangular prism?

Back

The surface area (A) of a rectangular prism is given by the formula A = 2(lw + lh + wh), where l is length, w is width, and h is height.

Front

What is the surface area of a pyramid?

Back

The surface area (A) of a pyramid is given by the formula A = B + (1/2)Pl, where B is the area of the base, P is the perimeter of the base, and l is the slant height.

Front

What is the difference between lateral surface area and total surface area?

Back

Lateral surface area refers to the area of the sides of a 3D shape, excluding the base(s), while total surface area includes the area of the base(s) as well.

Front

How do you calculate the surface area of a cone?

Back

The surface area (A) of a cone is given by the formula A = πr(r + l), where r is the radius and l is the slant height.

Front

What is the surface area of a cube?

Back

The surface area (A) of a cube is given by the formula A = 6s², where s is the length of a side.

Front

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its surface area?

Back

The surface area is A = 2π(3)(5 + 3) = 2π(3)(8) = 48π cm².

Front

What is the surface area of a hemisphere?

Back

The surface area (A) of a hemisphere is given by the formula A = 3πr², where r is the radius.