Illustrative Mathematics - Geometry - Unit 5 - Lesson 12

Give each solid a geometric name. Be as precise as you can

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These 3 congruent square pyramids can be assembled into a cube with side length 1 foot. What is the volume of each pyramid?

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A prism has a height of 4 inches and a volume of 120 cubic inches. Select all figures that could be the base for this prism.

• a 5 inch by 6 inch rectangle
• a square with side length 5 inches
• a circle with radius 5 inches
• a star-shaped base with area 30 square inches
• a right triangle with legs 5 inches and 12 inches

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This prism has a right triangle for a base. The volume of the prism is 54 cubic units. What is the value of h?

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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 5 units. What is the volume of this solid?

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A circle with area \pi square units is dilated using a scale factor of 5. What is the area of the dilated circle?

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