6 Questions
Which of the following formulas can be used to find the surface area of a rectangular prism?
A) SA = 2lw + 2lh + 2wh
What is the formula to find the volume of a cylinder?
A) V = πr^2h
If a cone has a radius of 5 cm and a height of 12 cm, what is its surface area? (Use π = 3.14)
C) 188.4 cm^2
Which of the following is the formula to find the surface area of a sphere?
4πr²
The lateral surface area of a cone is given by which formula?
2πrh
A rectangular prism has a length of 10 cm, a width of 5 cm, and a height of 8 cm. What is its volume?
400 cm³
Study Notes
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.
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