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Diagrams illustrating the top, front, and side views of various 3D objects.

A collection of six labeled diagrams showing different 3D objects with their top, front, and side views: (a) a military tent, (b) a table, (c) a nut, (d) a hexagonal block, (e) a die, and (f) a solid block structure.

A collection of six labeled diagrams showing different 3D objects with their top, front, and side views: (a) a military tent, (b) a table, (c) a nut, (d) a hexagonal block, (e) a die, and (f) a solid block structure.

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Show Answer Key & Explanations Step-by-step solution for: Draw the front view, side view and top view of the given objects ...

Problem Analysis:


The task involves analyzing the given 3D objects and their corresponding views (top, front, and side). The goal is to understand how each object's structure is represented in these views. Let's break down each object step by step.

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(a) A military tent


- Top View: Shows a trapezoidal shape, indicating the flat roof of the tent.
- Front View: Shows a triangular shape on top of a rectangular base, representing the sloped roof and the vertical walls of the tent.
- Side View: Shows a similar triangular shape on top of a rectangle, consistent with the front view but viewed from the side.

Explanation: The tent has a sloped roof (triangular in both front and side views) and a rectangular base. The top view confirms the trapezoidal shape of the roof when viewed from above.

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(b) A table


- Top View: Shows a pentagonal shape, indicating the tabletop.
- Front View: Shows a combination of a horizontal line (tabletop) and vertical lines (legs), forming a T-shape.
- Side View: Shows a similar T-shape, confirming the height of the legs and the width of the tabletop.

Explanation: The table has a pentagonal tabletop (as seen in the top view) and four legs that are perpendicular to the tabletop. The front and side views show the height of the legs and the overall structure.

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(c) A nut


- Top View: Shows a hexagonal shape, indicating the top surface of the nut.
- Front View: Shows a hexagonal prism with a circular hole in the center, representing the threads inside the nut.
- Side View: Shows a similar hexagonal prism with the circular hole, confirming the symmetry of the nut.

Explanation: The nut is a hexagonal prism with a central circular hole for threading. The top view shows the hexagonal shape of the top surface, while the front and side views confirm the prismatic structure and the central hole.

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(d) A hexagonal block


- Top View: Shows a hexagonal shape, indicating the top surface of the block.
- Front View: Shows a rectangular shape with two parallel lines, representing the front face of the block.
- Side View: Shows a similar rectangular shape with two parallel lines, confirming the side face of the block.

Explanation: The hexagonal block has a hexagonal top surface (as seen in the top view) and rectangular faces (as seen in the front and side views). This indicates a hexagonal prism.

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(e) A dice


- Top View: Shows a square with dots, indicating one face of the dice.
- Front View: Shows another square with dots, representing a different face of the dice.
- Side View: Shows a third square with dots, confirming the third visible face of the dice.

Explanation: The dice is a cube, and each face is a square. The top, front, and side views show different faces of the cube, each with a specific number of dots.

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(f) A solid


- Top View: Shows a combination of three squares, indicating the top surfaces of the blocks.
- Front View: Shows a combination of three rectangles, representing the front faces of the blocks.
- Side View: Shows a combination of three rectangles, confirming the side faces of the blocks.

Explanation: The solid consists of three connected cubes. The top view shows the arrangement of the top faces, while the front and side views show the combined rectangular faces of the cubes.

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Summary of Solutions:


1. Military Tent: Triangular roof and rectangular base.
2. Table: Pentagonal tabletop and four legs.
3. Nut: Hexagonal prism with a central hole.
4. Hexagonal Block: Hexagonal top and rectangular sides.
5. Dice: Cube with square faces and dots.
6. Solid: Three connected cubes.

Each object's structure is consistently represented in the top, front, and side views, providing a clear understanding of its 3D geometry.

Final Answer:
\[
\boxed{\text{See detailed explanations above for each object.}}
\]
Parent Tip: Review the logic above to help your child master the concept of front side and top view of 3d shapes worksheet.
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