Educational worksheet for students to practice drawing 2D views of 3D shapes constructed from cubes.
Worksheet titled "2D Plans of 3D Shapes" showing diagrams of 3D shapes made from cubes and grids for drawing front, side, and top views.
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Show Answer Key & Explanations
Step-by-step solution for: 2D Plans of 3D Shapes (Year 5) | CGP Plus
▼
Show Answer Key & Explanations
Step-by-step solution for: 2D Plans of 3D Shapes (Year 5) | CGP Plus
To solve the problem of drawing the front view (FV), side view (SV), and top view (TV) for each 3D shape, we need to carefully analyze the arrangement of cubes in each 3D diagram. Here's a step-by-step explanation for each shape:
---
- Front View (FV): The front view shows the number of cubes visible from the front. There are 2 columns: the left column has 2 cubes stacked vertically, and the right column has 1 cube.
- FV:
```
XX
X
```
- Side View (SV): The side view shows the number of cubes visible from the side. There are 2 rows: the top row has 1 cube, and the bottom row has 2 cubes.
- SV:
```
X
XX
```
- Top View (TV): The top view shows the number of cubes visible from above. There are 2 cubes in a row.
- TV:
```
XX
```
---
- Front View (FV): The front view shows 3 cubes stacked vertically.
- FV:
```
X
X
X
```
- Side View (SV): The side view shows 3 cubes stacked vertically.
- SV:
```
X
X
X
```
- Top View (TV): The top view shows 1 cube.
- TV:
```
X
```
---
- Front View (FV): The front view shows 4 cubes in a single row.
- FV:
```
XXXX
```
- Side View (SV): The side view shows 2 cubes stacked vertically.
- SV:
```
X
X
```
- Top View (TV): The top view shows 4 cubes in a single row.
- TV:
```
XXXX
```
---
- Front View (FV): The front view shows 3 cubes in a row, with the middle cube being taller (3 cubes high).
- FV:
```
X
XX
X
```
- Side View (SV): The side view shows 3 cubes stacked vertically.
- SV:
```
X
X
X
```
- Top View (TV): The top view shows 3 cubes in a row.
- TV:
```
XXX
```
---
Here is the completed table with all views:
| 3D Diagram | Front View (FV) | Side View (SV) | Top View (TV) |
|------------|------------------|----------------|---------------|
| Shape 1 | ```XX<br>X``` | ```X<br>XX``` | ```XX``` |
| Shape 2 | ```X<br>X<br>X``` | ```X<br>X<br>X``` | ```X``` |
| Shape 3 | ```XXXX``` | ```X<br>X``` | ```XXXX``` |
| Shape 4 | ```X<br>XX<br>X``` | ```X<br>X<br>X``` | ```XXX``` |
Thus, the final answer is:
\boxed{
\begin{array}{|c|c|c|c|}
\hline
\text{3D Diagram} & \text{Front View (FV)} & \text{Side View (SV)} & \text{Top View (TV)} \\
\hline
\text{Shape 1} & \begin{array}{c}XX \\ X\end{array} & \begin{array}{c}X \\ XX\end{array} & \begin{array}{c}XX\end{array} \\
\hline
\text{Shape 2} & \begin{array}{c}X \\ X \\ X\end{array} & \begin{array}{c}X \\ X \\ X\end{array} & \begin{array}{c}X\end{array} \\
\hline
\text{Shape 3} & \begin{array}{c}XXXX\end{array} & \begin{array}{c}X \\ X\end{array} & \begin{array}{c}XXXX\end{array} \\
\hline
\text{Shape 4} & \begin{array}{c}X \\ XX \\ X\end{array} & \begin{array}{c}X \\ X \\ X\end{array} & \begin{array}{c}XXX\end{array} \\
\hline
\end{array}
}
---
Shape 1 (Top Row, Leftmost):
- Front View (FV): The front view shows the number of cubes visible from the front. There are 2 columns: the left column has 2 cubes stacked vertically, and the right column has 1 cube.
- FV:
```
XX
X
```
- Side View (SV): The side view shows the number of cubes visible from the side. There are 2 rows: the top row has 1 cube, and the bottom row has 2 cubes.
- SV:
```
X
XX
```
- Top View (TV): The top view shows the number of cubes visible from above. There are 2 cubes in a row.
- TV:
```
XX
```
---
Shape 2 (Second Row, Leftmost):
- Front View (FV): The front view shows 3 cubes stacked vertically.
- FV:
```
X
X
X
```
- Side View (SV): The side view shows 3 cubes stacked vertically.
- SV:
```
X
X
X
```
- Top View (TV): The top view shows 1 cube.
- TV:
```
X
```
---
Shape 3 (Third Row, Leftmost):
- Front View (FV): The front view shows 4 cubes in a single row.
- FV:
```
XXXX
```
- Side View (SV): The side view shows 2 cubes stacked vertically.
- SV:
```
X
X
```
- Top View (TV): The top view shows 4 cubes in a single row.
- TV:
```
XXXX
```
---
Shape 4 (Bottom Row, Leftmost):
- Front View (FV): The front view shows 3 cubes in a row, with the middle cube being taller (3 cubes high).
- FV:
```
X
XX
X
```
- Side View (SV): The side view shows 3 cubes stacked vertically.
- SV:
```
X
X
X
```
- Top View (TV): The top view shows 3 cubes in a row.
- TV:
```
XXX
```
---
Final Answer:
Here is the completed table with all views:
| 3D Diagram | Front View (FV) | Side View (SV) | Top View (TV) |
|------------|------------------|----------------|---------------|
| Shape 1 | ```XX<br>X``` | ```X<br>XX``` | ```XX``` |
| Shape 2 | ```X<br>X<br>X``` | ```X<br>X<br>X``` | ```X``` |
| Shape 3 | ```XXXX``` | ```X<br>X``` | ```XXXX``` |
| Shape 4 | ```X<br>XX<br>X``` | ```X<br>X<br>X``` | ```XXX``` |
Thus, the final answer is:
\boxed{
\begin{array}{|c|c|c|c|}
\hline
\text{3D Diagram} & \text{Front View (FV)} & \text{Side View (SV)} & \text{Top View (TV)} \\
\hline
\text{Shape 1} & \begin{array}{c}XX \\ X\end{array} & \begin{array}{c}X \\ XX\end{array} & \begin{array}{c}XX\end{array} \\
\hline
\text{Shape 2} & \begin{array}{c}X \\ X \\ X\end{array} & \begin{array}{c}X \\ X \\ X\end{array} & \begin{array}{c}X\end{array} \\
\hline
\text{Shape 3} & \begin{array}{c}XXXX\end{array} & \begin{array}{c}X \\ X\end{array} & \begin{array}{c}XXXX\end{array} \\
\hline
\text{Shape 4} & \begin{array}{c}X \\ XX \\ X\end{array} & \begin{array}{c}X \\ X \\ X\end{array} & \begin{array}{c}XXX\end{array} \\
\hline
\end{array}
}
Parent Tip: Review the logic above to help your child master the concept of front side and top view of 3d shapes worksheet.