General Pyramids and Cones and Their Cross-Sections

What is the formula to find the volume of a pyramid with a rectangular base?

• V = (⅓)πr²⋅h

• V = πr²⋅h

• V = (⅓)lw⋅h

• V = (⅓)(½⋅bh)⋅(height of pyramid)

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CCSS.HSG.GMD.A.3

What is the formula to find the volume of a cone?

• V=π r³h

• V=π r²h

• V=(⅓)π r²h

• V=(4/3)π r³

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CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Find the volume of the rectangular pyramid.

• 364 cm³

• 1092 cm³

• 546 cm³

• 182 cm³

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CCSS.HSG.GMD.A.3

Find the volume. Round to the nearest hundredth.

• 37.70 in³

• 56.54 in³

• 169.65 in³

• 84.82 in³

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CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Find the volume.

• 240 cm³

• 1440 cm³

• 720 cm³

• 480 cm³

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CCSS.HSG.GMD.A.3

To find the volume of a rectangular pyramid, you must first find the area of the rectangular base then multiply it by the height of the pyramid finally, dividing by 3.

• True

• False

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CCSS.HSG.GMD.A.3

A cone has a height of 4 in. and a radius of 6 in. Find the volume.

• 8π in³

• 24π in³

• 48π in³

• 144π in³

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CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Find the volume.

• 4620 m³

• 5390 m³

• 735 m³

• 539 m³

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CCSS.HSG.GMD.A.3

A cone has a height of 30 in. and a diameter of 20 in. Find the volume of the cone. If necessary, round to the nearest hundredth.

• 600 in³

• 12,566.37 in³

• 3,141.59 in³

• 9,424.78 in³

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CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

A solid cone was placed in the center of a rectangular fish tank as shown. Which is closest to the maximum amount of water that the fish tank can hold? If necessary, round to the nearest whole number.

• 1286 in³

• 1455 in³

• 1476 in³

• 1569 in³

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CCSS.HSG.GMD.A.3

CCSS.8.G.C.9