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Illustrative Mathematics - Geometry - Unit 5 - Lesson 18

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Last updated 2 months ago
13 Questions
1.

A cube with side length 5 centimeters has a density of 3 grams per cubic centimeter.

What is its mass?

F.IF.7.c
G.GMD.3
F.IF.7.a
G.MG.1
F.IF.7.b
A.REI.11
G.MG.3
A.CED.4
2.
3.
4.

A right cone has a base with diameter 4 units. The volume of the cone is 16\pi cubic units.

What is the length of a segment drawn from the apex to the edge of the circular base?

F.IF.7.c
G.GMD.3
F.IF.7.a
G.MG.1
F.IF.7.b
A.REI.11
G.MG.3
A.CED.4
5.

A right pyramid has a square base with sides of length 10 units. Each segment connecting the apex to a midpoint of a side of the base has length 13 units.

What is the volume of the pyramid?

F.IF.7.c
G.GMD.3
F.IF.7.a
G.MG.1
F.IF.7.b
A.REI.11
G.MG.3
A.CED.4
6.

A solid can be constructed with 2 squares and 4 congruent, non-rectangular parallelograms.

What is the name of this solid?

F.IF.7.c
G.GMD.3
F.IF.7.a
G.MG.1
F.IF.7.b
A.REI.11
G.MG.3
A.CED.4
7.

Diego is deciding which of 2 juice containers he should buy. One container is in the shape of a cylinder with radius 2.5 centimeters and height 10.5 centimeters. The second container is in the shape of a rectangular prism. The prism also has height 10.5 centimeters. Its length is 4 centimeters and its width is 6 centimeters.

Which juice container has the larger volume?

F.IF.7.c
G.GMD.3
F.IF.7.a
G.MG.1
F.IF.7.b
A.REI.11
G.MG.3
A.CED.4
8.

A parallelogram has an area of 1 square centimeter. Write an equation where y is the scale factor required for a dilation of the parallelogram to have an area of x square units.

 Sketch a graph representing the equation.

F.IF.7.c
G.GMD.3
F.IF.7.a
G.MG.1
F.IF.7.b
A.REI.11
G.MG.3
A.CED.4
9.
10.
11.
12.
13.

Four solids on the list have the same volume. Select these solids.

F.IF.7.c
G.GMD.3
F.IF.7.a
G.MG.1
F.IF.7.b
A.REI.11
G.MG.3
A.CED.4
This lesson is from Illustrative Mathematics. Geometry, Unit 5, Lesson 18. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/5/18/index.html ; accessed 29/July/2021.

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