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# NGMS4

### Volume & Surface Area

Question | Answer |
---|---|

What does the big B represent in the volume formula V = Bh. | The big B represents what you plug in to find the area of the base shape. |

What is the formula to find volume of a cube? | V = Bh. V = (l*w)h or s cubed Ex: 5 x 5 x 5 |

What is the formula to find volume of a rectangular prism? | V = Bh. V = (l*w)h or (b*h)h |

What is the formula to find volume of a cylinder? | V = Bh. V = (πr²)h |

What is the formula to find volume of a triangular prism? | V = Bh. V = 1/2(b*h)h |

What is the formula to find volume of a pyramid? | V = Bh. V = 1/3(l*w)h or 1/3 (b*h)h |

What is the formula to find volume of a cone? | V = Bh. V = 1/3(πr²)h |

What is the formula to find surface area of a cube? | 6 * s² |

What is the formula to find surface area of a rectangular prism? | 2(l*w)) + 2(l*h) + 2(h*w) |

What is the formula to find surface area of a cylinder? | 2πr² + 2πrh |

If you are filling an empty cooler with Gatorade, do you need to know the volume or surface area, in order to fill it with the correct amount of liquid? | Volume |

If you are paint the walls a bedroom, do you need to know the volume or surface area of the room in order to buy the correct amount of paint to cover the walls? | Surface area |

Chris is wrapping a present. Does he need to know the volume or surface area in order to buy the correct amount of wrapping paper? | Surface area. |

Mr. Boynce is filling a water bottle before basketball practice. Does he need to know the surface area or volume in order to fill the bottle all the way to the top? | Volume. |

Mr. Aiken is holding a cube. The width is 5in, the length is 5in, and the height is 5in. What is the volume & surface area of the cube? | V = Bh step 1 (5x5)5 step 2 (25)5 Answer: 125in³. SA = s²*6 step 1: 5² = 25. Step 2: 25*6 = 125in² |

What is the volume & surface area of a rectangular prism with the dimensions l=6in, w=7in, and h=8in. | V = Bh. V = (l*w)h V = (6*7)8 V = (42)8) V = 336 inches cubed SA=2(l*w)) + 2(l*h) + 2(h*w) SA=2(6*7)+2(7*8)+2(8*6) SA=84+112+96 SA=292 inches squared |

Find the volume & SA of a cylinder with the following dimensions: r=4in h=6in use 3 for Pi | V = Bh. V=(πr²)h V=(3*4²)6 V=(48)6 V=288in³ SA=2πr²+2πrh SA= 2(3)4² + 2(3)(4)(6)SA=96+144 SA=240 |

What is the volume of a cone with the dimensions: r=4in h=4in use 3 for Pi. | V = Bh. V = 1/3(πr²)h V=1/3(3*4²)4 = 64in³ |

What is the volume of a pyramid with the following dimensions: l=2in w=2in h=6in | V = Bh. V = 1/3(l*w)h V=1/3(2*2)6 V=1/3(4)6 V=1/3(24) V=8in³ |

What is half the volume of a cylinder with the following dimensions: r=6 h=7 use 3 for Pi | V = Bh. V=(πr²)h V=(3*6²)7 V=(108)7 V=756in³/2 V=378in³ |

Created by:
NorthGwinnettMS