Podcast
Questions and Answers
Which of the following formulas can be used to find the surface area of a rectangular prism?
Which of the following formulas can be used to find the surface area of a rectangular prism?
- B) SA = lw + lh + wh
- A) SA = 2lw + 2lh + 2wh (correct)
- C) SA = l^2 + w^2 + h^2
- D) SA = 4Ï€r^2
What is the formula to find the volume of a cylinder?
What is the formula to find the volume of a cylinder?
- B) V = lwh
- D) V = 4/3Ï€r^3
- A) V = πr^2h (correct)
- C) V = (1/3)Ï€r^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)
If a cone has a radius of 5 cm and a height of 12 cm, what is its surface area? (Use π = 3.14)
- B) 150 cm^2
- C) 188.4 cm^2 (correct)
- A) 282.6 cm^2
- D) 94.2 cm^2
Which of the following is the formula to find the surface area of a sphere?
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?
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?
A rectangular prism has a length of 10 cm, a width of 5 cm, and a height of 8 cm. What is its volume?
Flashcards
Rectangular Prism Surface Area Formula
Rectangular Prism Surface Area Formula
Surface Area (SA) = 2(lw + lh + wh)
Cylinder Volume Formula
Cylinder Volume Formula
Volume (V) = πr²h
Sphere Surface Area
Sphere Surface Area
Surface Area = 4πr²
Cone Lateral Surface Area
Cone Lateral Surface Area
Signup and view all the flashcards
Rectangular Prism Volume
Rectangular Prism Volume
Signup and view all the flashcards
Cone Surface Area Calculation
Cone Surface Area Calculation
Signup and view all the flashcards
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.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
