Illustrative Mathematics - Geometry - Unit 5 - Lesson 11

This prism has a right triangle for a base. What is the volume of the prism?

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G.SRT.6

G.GMD.3

G.GMD.4

G.SRT.8

An oblique cylinder with a base of radius 2 units is shown. The top of the cylinder can be obtained by translating the base by the directed line segment AB which has length 6\sqrt{2} units. The segment AB forms a 45o angle with the plane of the base. What is the volume of the cylinder?

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G.SRT.6

G.GMD.3

G.GMD.4

G.SRT.8

A prism has a height of 5 inches and a volume of 80 cubic inches. Select all figures that could be the base for this prism.

• a square with side length 4 inches
• a 2 inch by 8 inch rectangle
• a circle with radius 2 inches
• a right triangle with legs 4 inches long
• a heart-shaped base with an area of 16 square inches

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G.SRT.6

G.GMD.3

G.GMD.4

G.SRT.8

This water bottle has a base with area B square inches and a height of h inches. Tyler thinks the volume of the water bottle is Bh. Elena thinks the volume is less than Bh. Do you agree with either of them? Explain your reasoning.

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G.SRT.6

G.GMD.3

G.GMD.4

G.SRT.8

A solid has volume 6 cubic units and surface area 22 square units. The solid is dilated, and the image has surface area 198 square units. What is the volume of the image?

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G.SRT.6

G.GMD.3

G.GMD.4

G.SRT.8

Select all statements that must be true.

• The angle bisector of an isosceles triangle is also the perpendicular bisector.
• The angle bisector of any angle divides the angle into 2 congruent parts.
• The median of a triangle is also the perpendicular bisector.
• The median of an isosceles triangles is also the angle bisector.
• The median of a triangle is also the angle bisector.

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G.SRT.6

G.GMD.3

G.GMD.4

G.SRT.8