Illustrative Mathematics - Geometry - Unit 5 - Lesson 11

By Formative Library
Last updated 2 months ago
11 Questions
1.

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

G.SRT.6
G.GMD.3
G.GMD.4
G.SRT.8
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 45o angle with the plane of the base.
What is the volume of the cylinder?

G.SRT.6
G.GMD.3
G.GMD.4
G.SRT.8
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.

G.SRT.6
G.GMD.3
G.GMD.4
G.SRT.8
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.

G.SRT.6
G.GMD.3
G.GMD.4
G.SRT.8
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?

G.SRT.6
G.GMD.3
G.GMD.4
G.SRT.8
6.
7.
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?

G.SRT.6
G.GMD.3
G.GMD.4
G.SRT.8
9.
10.
11.

Select all statements that must be true.

G.SRT.6
G.GMD.3
G.GMD.4
G.SRT.8
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.

IM Algebra 1, Geometry, Algebra 2 is © 2019 Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.

These materials include public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.