Illustrative Mathematics - Geometry - Unit 5 - Lesson 16
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Last updated 2 months ago
9 Questions
1
1.
These solids all have the same volume. Which has the least surface area?
These solids all have the same volume.
Which has the least surface area?
G.GMD.3
G.MG.1
8.G.9
7.G.6
G.MG.3
1
2.
1
3.
1
4.
1
5.
1
6.
Suppose this two-dimensional figure is rotated 360 degrees using the vertical axis shown. Each small square on the grid represents 1 square inch. What is the volume of the three-dimensional figure?
Suppose this two-dimensional figure is rotated 360 degrees using the vertical axis shown. Each small square on the grid represents 1 square inch.
What is the volume of the three-dimensional figure?
G.GMD.3
G.MG.1
8.G.9
7.G.6
G.MG.3
1
7.
A cone-shaped container is oriented with its circular base on the top and its apex at the bottom. It has a radius of 12 inches and a height of 8 inches. The cone starts filling up with water.
What fraction of the volume of the cone is filled when the water reaches a height of 2 inches?
A cone-shaped container is oriented with its circular base on the top and its apex at the bottom. It has a radius of 12 inches and a height of 8 inches. The cone starts filling up with water.
What fraction of the volume of the cone is filled when the water reaches a height of 2 inches?
G.GMD.3
G.MG.1
8.G.9
7.G.6
G.MG.3
1
8.
Find the volume of a pyramid whose base is a square with sides of length 4 units and which has a height of 10 units.
Find the volume of a pyramid whose base is a square with sides of length 4 units and which has a height of 10 units.
G.GMD.3
G.MG.1
8.G.9
7.G.6
G.MG.3
1
9.
A solid has volume 4 cubic units and surface area 10 square units. The solid is dilated, and the image has volume 108 cubic units.
What is the surface area of the image?
A solid has volume 4 cubic units and surface area 10 square units. The solid is dilated, and the image has volume 108 cubic units.
What is the surface area of the image?
G.GMD.3
G.MG.1
8.G.9
7.G.6
G.MG.3
This lesson is from Illustrative Mathematics. Geometry, Unit 5, Lesson 16. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/5/16/index.html ; accessed 29/July/2021.
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