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NGMS4

Volume & Surface Area

QuestionAnswer
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