Volume and Surface Area Review

Front

What is the formula for the volume of a cylinder?

Back

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

Front

How do you calculate the height of a cylinder if you know the volume and diameter?

Back

To find the height h, use the formula: h = V / (πr²), where V is the volume and r is the radius (half of the diameter).

Front

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

Back

The lateral surface area A of a cylinder is given by the formula: A = 2πrh, where r is the radius and h is the height.

Front

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

Back

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

Front

What is the formula for the volume of a rectangular prism?

Back

The volume V of a rectangular prism is given by the formula: V = lwh, where l is the length, w is the width, and h is the height.

Front

How do you calculate the lateral surface area of a rectangular prism?

Back

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

Front

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

Back

The total surface area SA of a rectangular prism is given by the formula: SA = 2lw + 2lh + 2wh.

Front

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

Back

Lateral surface area includes only the sides of the solid, while total surface area includes the sides and the top and bottom surfaces.

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 5 inches?

Back

Using the formula V = πr²h, the volume is V = π(3)²(5) = 45π ≈ 141.37 cubic inches.

Front

If a rectangular prism has a length of 4 ft, width of 3 ft, and height of 5 ft, what is its volume?

Back

Using the formula V = lwh, the volume is V = 4 * 3 * 5 = 60 cubic feet.