Surface Area and Volume Quiz: Test Your Knowledge

Which of the following formulas can be used to find the surface area of a rectangular prism?

What is the formula to find the volume of a cylinder?

If a cone has a radius of 5 cm and a height of 12 cm, what is its surface area? (Use π = 3.14)

Which of the following is the formula to find the surface area of a sphere?

The lateral surface area of a cone is given by which formula?

A rectangular prism has a length of 10 cm, a width of 5 cm, and a height of 8 cm. What is its volume?

Surface Area and Volume of 3D Shapes

The surface area of a rectangular prism can be found using the formula: SA = 2lw + 2lh + 2wh, where l, w, and h are length, width, and height respectively.

Volume of a Cylinder

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

Surface Area of a Cone

The surface area of a cone with a radius of 5 cm and a height of 12 cm is: SA = πr(r + l), where l is the slant height, which can be found using the Pythagorean theorem: l = √(r² + h²).
Using the given values, the surface area of the cone is: SA ≈ 3.14(5)(5 + √(5² + 12²)).

Surface Area of a Sphere

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

Lateral Surface Area of a Cone

The lateral surface area of a cone is given by the formula: LSA = πrl, where r is the radius and l is the slant height.

Volume of a Rectangular Prism

The volume of a rectangular prism with a length of 10 cm, a width of 5 cm, and a height of 8 cm is: V = lwh = 10 × 5 × 8 = 400 cm³.

Test your knowledge of surface area and volume formulas with this quiz! Answer questions about the formulas for surface area of a rectangular prism, volume of a cylinder, and find the surface area of a cone using specific measurements.