Surface Area and Volume of Solids

Front

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

Back

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

Front

What is the formula for the volume of a pyramid?

Back

The volume of a pyramid is given by the formula: V = (1/3) * B * h, where B is the area of the base and h is the height.

Front

Define surface area.

Back

Surface area is the total area that the surface of a three-dimensional object occupies.

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is given by the formula: V = πr²h, where r is the radius and h is the height.

Front

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

Back

The surface area of a sphere is given by the formula: SA = 4πr², where r is the radius.

Front

What is the formula for the volume of a sphere?

Back

The volume of a sphere is given by the formula: V = (4/3)πr³, where r is the radius.

Front

What is the slant height of a cone?

Back

The slant height of a cone is the distance from the base to the apex along the side of the cone.

Front

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

Back

The surface area of a square pyramid is calculated using the formula: SA = B + (1/2) * P * l, 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 relationship between surface area and volume?

Back

Surface area and volume are both measures of a three-dimensional object's size, but surface area measures the extent of the object's surface, while volume measures the space it occupies.

Front

What is the formula for the surface area of a rectangular prism?

Back

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