Solve Problems with Volume, Surface Area, Density

How do you find the volume of a prism?

• Base area multiplied by the 3-D Height, then divide by 3
• Perimeter of the Base Shape multiplied by the 3-D Height
• Base area multiplied by the 3-D Height

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CCSS.7.G.B.6

When finding Volume, what are you solving for?

• Tells us how many given cubic units it takes to fill a given space.

• The area of such an outside of a figure.

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

When finding Surface Area, what are you solving for?

• Tells us the capacity of the figure.  It is a measure of how much a figure can hold and is measured in cubic units.
• The area of such an outer part or uppermost layer.

You are putting in a pool at your house in the shape of a rectangular prism.  The length is 40 ft, the width is 20 ft and the 3-D height is 12 ft.  How much water will be in the pool?

• 8640 cubic feet
• 8400 cubic feet
• 8000 cubic feet
• 9600 cubic feet

Tags

CCSS.7.G.B.6

You want to figure out how cherry coke is inside a can of Coca-Cola.  The radius is 2 inches and the 3-D height is 6 inches.  How much cherry coke fits inside the can?

• 68.56 cubic inches
• 75.36 cubic inches
• 83.76 cubic inches
• 94.7 cubic inches

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

El Compadre's Mexican Restaurant is a triangular prism. The base of the triangle is 90 ft and height of the triangle is 100 ft. The 3-D height is 200 ft. How much space is inside the restaurant?

• 750,000 cubic feet

• 800,000 cubic feet

• 850,000 cubic feet

• 900,000 cubic feet

Tags

CCSS.7.G.B.6

We want to fill up the cylinder pictured with water.  How many inches cubed of water will fit inside it?

• 78500 inches cubed
• 80000 inches cubed
• 84500 inches cubed
• 89000 inches cubed

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

You want to wrap the box in the image.  How much wrapping paper would you need?

• 415 squared cm
• 489 squared cm
• 302 squared cm
• 612 squared cm

Tags

CCSS.7.G.B.6

You want to paint the outside of the box in the picture. How many square inches would you need to paint?

• 122 square feet

• 147 square feet

• 168 square feet

• 198 square feet

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CCSS.7.G.B.6

Dave has a cylindrical water bottle with a height of 12 inches and a diameter of 6 inches. How much water could the bottle hold?

• 1356.48 cubic inches

• 339.12 cubic inches

• 678.24 square inches

• 282.6 square inches

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3