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Illustrative Mathematics - Geometry - Unit 5 - Lesson 11

Last updated over 1 year ago

11 Nsɛmmisa

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Asemmisa {{asɛmmisaAhyɛnsode}}

1.

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

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2.

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 45^o angle with the plane of the base.
What is the volume of the cylinder?

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3.

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 circle with radius 2 inches

a heart-shaped base with an area of 16 square inches

a right triangle with legs 4 inches long

a square with side length 4 inches

a 2 inch by 8 inch rectangle

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4.

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.

Asemmisa {{asɛmmisaAhyɛnsode}}

5.

This solid has curved sides. All cross sections parallel to the base are squares measuring 3 units on each side. The height from the base to the top is 10 units.
What is the volume of this solid?

30 cubic units

60 cubic units

90 cubic units

There is not enough information to determine the volume.

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6.

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7.

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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?

1

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9.

1

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10.

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11.

Select all statements that must be true.

The median of a triangle is also the perpendicular bisector.

The median of a triangle is also the angle bisector.

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 an isosceles triangles is also the angle bisector.

This lesson is from Illustrative Mathematics. Geometry, Unit 5, Lesson 11. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/5/11/index.html ; accessed 29/July/2021.

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