Topic 11 - 2D and 3D Models (EOC Review)

A plane intersects a triangular pyramid perpendicular to the base. Select all the possible shapes of the cross-section.

• triangle

• quadrilateral

• parallelogram

• rectangle

• trapezoid

Tags

CCSS.7.G.A.3

Match each object to the three-dimensional figure formed by rotating about the given axis of rotation.

• Cone

• C

• Cylinder

• A

• Sphere

• B

Tags

CCSS.7.G.A.3

A plane intersects the prism parallel to the base. Which best describes the cross-section?

• rectangle

• trapezoid

• pentagon

• triangle

Tags

CCSS.7.G.A.3

Each hemisphere of a beach ball has a volume of 281,250π cm³. What is the radius of the ball, in cm?

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

A hemisphere igloo has a volume of about 9,202.8 m³. What is the area, in sq m, of the floor of the igloo? Round to the nearest tenth.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Assuming a soap bubble is a perfect sphere, what is the diameter of a bubble containing 1,200 cm³ of air?

• 6.6 cm

• 8.0 cm

• 13.2 cm

• 16.0 cm

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Which statement best compares the volumes of the two cylinders?

• The volume of cylinder A is the same as the volume of cylinder B.

• There is not enough information to compare the volumes of the cylinders.

• The volume of cylinder A is less than the volume of cylinder B.

• The volume of cylinder A is greater than the volume of cylinder B.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

A steel pipe 50 cm long has an outside diameter of 2.2 cm and an inside diameter of 2 cm. If the density of the steel is 7.8 grams per cm³, what is the mass of the pipe, to the nearest gram?

Tags

CCSS.HSG.MG.A.2

Find the surface area of the cone, to the nearest tenth.

Find the volume of the cone, to the nearest tenth.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9