Math Volume and Surface Area - based on TEKS 8.7A, 8.7B

What is the formula for finding the volume of a cylinder?

• V = 1/3πr²h

• V = 2πrh

• V = πr²h

• V = 4/3πr³

Answer explanation

The formula for finding the volume of a cylinder is V = πr²h. This formula calculates the volume by multiplying the base area (πr²) by the height (h).

What is the formula for finding the volume of a cone?

• V = πr²h

• V = 1/3πr²h

• V = 4/3πr³

• V = 2πrh

Answer explanation

The formula for finding the volume of a cone is V = 1/3πr²h. This formula is derived from the fact that the volume of a cone is one-third the volume of a cylinder with the same base and height.

What is the formula for finding the volume of a sphere?

• V = πr²h

• V = 2πrh

• V = 1/3πr²h

• V = 4/3πr³

What is the formula for finding the lateral surface area of a cylinder?

• 2πr

• πr(h+r)

• πr²

• 2πrh

What is the formula for finding the total surface area of a cylinder?

• πr²h

• 2πrh + 2πr²

• 2πr

• πr(h+r)

Answer explanation

The formula for finding the total surface area of a cylinder is 2πrh + 2πr². This formula includes the curved surface area and the area of the two circular bases.

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

• 2(l+w)

• 2lw + 2lh

• 2(l+w)h

• lwh

Answer explanation

The formula for finding the lateral surface area of a rectangular prism is 2lw + 2lh. This formula calculates the sum of the areas of the four lateral faces of the prism.

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

• 2lw + 2lh + 2wh

• 2(l+w)

• lwh

• 2(l+w)h

Answer explanation

The formula for finding the total surface area of a rectangular prism is 2lw + 2lh + 2wh. This formula accounts for all six faces of the prism.

What is the formula for finding the lateral surface area of a triangular prism?

• 2lw + 2lh

• 2(l+w)

• 2(l+w)h

• l + 2B

Answer explanation

The formula for finding the lateral surface area of a triangular prism is l + 2B. This formula calculates the sum of the length of the prism and twice the area of the base. It is the correct choice because it correctly accounts for both the length and the base area.

What is the formula for finding the total surface area of a triangular prism?

• l + 2B

• 2(l+w)h

• 2lw + 2lh

• 2(l+w)

Answer explanation

The formula for finding the total surface area of a triangular prism is 2lw + 2lh + 2wh. This includes the areas of the two triangular bases and the three rectangular faces.

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

• 2πr

• 2πrh

• πr(h+r)

• πr²

Answer explanation

The formula for finding the lateral surface area of a cone is 2πrh. This formula takes into account the radius (r) and the slant height (h) of the cone.