Illustrative Mathematics - Geometry - Unit 5 - Lesson 15
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Last updated 2 months ago
9 Questions
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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?
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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?
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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.
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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.
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8.
These 3 congruent square pyramids can be assembled into a cube with side length 2 feet.
What is the volume of each pyramid?
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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?
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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.
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