Illustrative Mathematics - Geometry - Unit 5 - Lesson 15
By Formative Library
starstarstarstarstar
Last updated about 1 year ago
9 Questions
1
1.
A right cone has a base with diameter 10 units. The volume of the cone is 100\pi cubic units.
What is the length of a segment drawn from the apex to the edge of the circular base?
G.GMD.3
G.GMD.4
1
2.
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?
G.GMD.3
G.GMD.4
1
3.
1
4.
1
5.
1
6.
A pyramid has a height of 8 inches and a volume of 120 cubic inches.
Determine 2 possible shapes, with dimensions, for the base.
G.GMD.3
G.GMD.4
1
7.
A toy company packages modeling clay in the shape of a rectangular prism with dimensions 6 inches by 1 inch by \frac{1}{2} inch. They want to change the shape to a rectangular pyramid that uses the same amount of clay.
Determine 2 sets of possible dimensions for the pyramid.
G.GMD.3
G.GMD.4
1
8.
These 3 congruent square pyramids can be assembled into a cube with side length 2 feet.
What is the volume of each pyramid?
G.GMD.3
G.GMD.4
1
9.
A monster truck wheel has an area of 324\pi square inches. A toy company wants to create a scaled copy of the monster truck with a wheel area of 9\pi square inches.
What scale factor should the company use?
G.GMD.3
G.GMD.4
This lesson is from Illustrative Mathematics. Geometry, Unit 5, Lesson 15. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/5/15/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.