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Type: Multiple-Choice
Category: Three Dimensional Shapes
Level: Grade 11
Standards: HSG-MG.A.1
Author: nsharp1
Created: 4 years ago

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Three Dimensional Shapes Question

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Grade 11 Three Dimensional Shapes CCSS: HSG-MG.A.1

An artist has created large blocks for a project. They are rectangular prisms, with dimensions of 2×3×7 ft, and they rest on one of their largest faces. Every block has two hemisphere-shaped cavities on both of the longer vertical sides, each with a diameter of 1.5 ft. The top has two cylindrical protrusions, each with a diameter of 1 ft and a height of 3 ft. The artist is planning on painting the entire surface of the blocks, except for their bottoms. What is the surface area of each block, rounded to the nearest tenth of a square foot?
  1. 76.7 ft2
  2. 78.3 ft2
  3. 86.9 ft2
  4. 93.1 ft2