To find the volume of the figure in cubic centimeters, we need to count how many
1-cubic-centimeter cubes make up the entire 3D shape.
Step 1: Understand the structure
The figure is made up of small cubes, each with a volume of
1 cubic centimeter, as shown in the key:
> 🟨 = 1 cubic centimeter
We can see that the figure is a
rectangular prism made of smaller unit cubes.
Let’s determine the
dimensions of the figure:
-
Length (front to back): Count the number of cubes along the front row.
→ There are
5 cubes in a row.
-
Width (side to side): Count the number of cubes going from left to right.
→ There are
3 cubes.
-
Height (top to bottom): Count the number of layers stacked vertically.
→ There are
2 layers.
So the dimensions are:
- Length = 5
- Width = 3
- Height = 2
Step 2: Calculate the volume
Volume of a rectangular prism = length × width × height
$$
\text{Volume} = 5 \times 3 \times 2 = 30 \text{ cubic centimeters}
$$
Step 3: Match with answer choices
A) 15
B) 24
C) 30
✔
D) 45
---
✔ Final Answer: C) 30
Parent Tip: Review the logic above to help your child master the concept of 5 grade math tests.
