To solve the problem of counting the cubes and writing the volume for each shape, we need to carefully analyze each figure and count the number of individual cubes that make up each shape. The volume of each shape is equal to the number of cubes it contains.
Step-by-Step Solution:
####
Shape a:
- The shape is a 3x3x3 cube.
- Total cubes: \(3 \times 3 \times 3 = 27\)
- Volume:
27 cubic units
####
Shape b:
- The shape consists of 10 individual cubes arranged in a line.
- Total cubes: 10
- Volume:
10 cubic units
####
Shape c:
- The shape is a combination of cubes:
- Bottom layer: 6 cubes
- Middle layer: 4 cubes
- Top layer: 2 cubes
- Total cubes: \(6 + 4 + 2 = 12\)
- Volume:
12 cubic units
####
Shape d:
- The shape is a vertical stack of 5 cubes.
- Total cubes: 5
- Volume:
5 cubic units
####
Shape e:
- The shape is a 2x2x2 cube.
- Total cubes: \(2 \times 2 \times 2 = 8\)
- Volume:
8 cubic units
####
Shape f:
- The shape is a combination of cubes:
- Bottom layer: 6 cubes
- Middle layer: 4 cubes
- Top layer: 2 cubes
- Total cubes: \(6 + 4 + 2 = 12\)
- Volume:
12 cubic units
####
Shape g:
- The shape is a 4x4x4 cube.
- Total cubes: \(4 \times 4 \times 4 = 64\)
- Volume:
64 cubic units
####
Shape h:
- The shape is a horizontal stack of 4 cubes.
- Total cubes: 4
- Volume:
4 cubic units
####
Shape i:
- The shape is a combination of cubes:
- Bottom layer: 4 cubes
- Middle layer: 2 cubes
- Top layer: 1 cube
- Total cubes: \(4 + 2 + 1 = 7\)
- Volume:
7 cubic units
####
Shape j:
- The shape is a combination of cubes:
- Bottom layer: 6 cubes
- Middle layer: 4 cubes
- Top layer: 2 cubes
- Total cubes: \(6 + 4 + 2 = 12\)
- Volume:
12 cubic units
####
Shape k:
- The shape is a combination of cubes:
- Bottom layer: 6 cubes
- Middle layer: 4 cubes
- Top layer: 2 cubes
- Total cubes: \(6 + 4 + 2 = 12\)
- Volume:
12 cubic units
####
Shape l:
- The shape is a combination of cubes:
- Bottom layer: 6 cubes
- Middle layer: 4 cubes
- Top layer: 2 cubes
- Total cubes: \(6 + 4 + 2 = 12\)
- Volume:
12 cubic units
Final Answer:
\[
\boxed{
\begin{array}{ll}
a. & 27 \text{ cubic units} \\
b. & 10 \text{ cubic units} \\
c. & 12 \text{ cubic units} \\
d. & 5 \text{ cubic units} \\
e. & 8 \text{ cubic units} \\
f. & 12 \text{ cubic units} \\
g. & 64 \text{ cubic units} \\
h. & 4 \text{ cubic units} \\
i. & 7 \text{ cubic units} \\
j. & 12 \text{ cubic units} \\
k. & 12 \text{ cubic units} \\
l. & 12 \text{ cubic units} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of volume worksheets 5th grade.