This video tutorial covers the concept of volume for prisms and cylinders, explaining the difference between surface area and volume. It provides detailed examples of calculating the volume of rectangular prisms, prisms with triangular and trapezoidal bases, and cylinders. The tutorial also includes an application problem involving the calculation of the time required to fill a pool, using the volume formula for cylinders. The video concludes with a light-hearted joke.

What is the primary difference between surface area and volume?

• Volume measures the interior space, while surface area measures the exterior.

• Volume is easier to calculate than surface area.

• Both measure the same properties of an object.

• Surface area uses a simpler formula than volume.

How do you calculate the volume of a rectangular prism?

• Multiply the base by the height.

• Multiply length, width, and height.

• Add length, width, and height.

• Divide the length by the width and multiply by height.

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CCSS.7.G.B.6

What is the volume of a rectangular prism with dimensions 9 cm, 17 cm, and 24 cm?

• 3672 cubic centimeters

• 3500 cubic centimeters

• 4000 cubic centimeters

• 3000 cubic centimeters

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CCSS.7.G.B.6

What is the formula to find the volume of a prism with a triangular base?

• Base area times height.

• Base area plus height.

• Twice the base area times height.

• Half the base area times height.

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CCSS.7.G.B.6

What is the base area of a trapezoidal prism if the sides of the trapezoid are 14 and 36, and the height is 17.9?

• 447.5 square meters

• 500 square meters

• 350 square meters

• 400 square meters

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CCSS.7.G.B.6

What is the volume of a trapezoidal prism with a base area of 447.5 and a height of 25?

• 11187.5 cubic meters

• 10000 cubic meters

• 12000 cubic meters

• 15000 cubic meters

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CCSS.7.G.B.6

How is the volume of a cylinder calculated?

• PI times radius squared times height.

• PI times radius times height squared.

• Radius squared times height.

• PI times radius plus height.

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What is the volume of a cylinder if the radius is 5.5 and the height is 21?

• 1995.7 cubic meters

• 635.25 cubic meters

• 1000 cubic meters

• 550 cubic meters

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If a pool is filled at a rate of 80 cubic feet per hour, how long will it take to fill a pool with a volume of 2290.22 cubic feet?

• 35 hours

• 28.63 hours

• 25 hours

• 30 hours

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CCSS.6.EE.B.7

Where do arcs go on summer vacation?

• Sweden

• Norway

• Finland

• Denmark

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CCSS.L.2.2C

CCSS.L.3.2D