Let's solve each of the volume problems step by step using the formula for the volume of a rectangular prism:
$$
V = \text{length} \times \text{width} \times \text{height}
$$
---
Problem 1:
Given:
- Length ($l$) = 12 cm
- Width ($w$) = 4 cm
- Height ($h$) = 8 cm
$$
V = 12 \times 4 \times 8 = 384
$$
✔ Answer:
$$
12 \times 4 \times 8 = 384
$$
The volume of the shape is
384 cubic cm.
---
Problem 2:
Given:
- Length ($l$) = 5 mm
- Width ($w$) = 5 mm
- Height ($h$) = 5 mm
This is a cube (all sides equal).
$$
V = 5 \times 5 \times 5 = 125
$$
✔ Answer:
$$
5 \times 5 \times 5 = 125
$$
The volume of the shape is
125 cubic mm.
---
Problem 3: Carl’s Cooler
Given:
- Length = 2 ft
- Width = 4 ft
- Height = 2 ft
$$
V = 2 \times 4 \times 2 = 16
$$
✔ Answer:
The volume of the cooler is
16 cubic ft.
> 📌 *Drawing:* You would draw a rectangular box and label:
> - Length: 2 ft
> - Width: 4 ft
> - Height: 2 ft
(You can sketch this as a simple rectangular prism with labels on each dimension.)
---
Problem 4: Susan’s Aquarium
Given:
- Length = 5 ft
- Width = 2 ft
- Height = 3 ft
$$
V = 5 \times 2 \times 3 = 30
$$
✔ Answer:
The volume of the aquarium is
30 cubic ft.
> 📌 *Drawing:* Draw a rectangular prism and label:
> - Length: 5 ft
> - Width: 2 ft
> - Height: 3 ft
---
✔ Final Answers Summary:
1.
First shape: $12 \times 4 \times 8 = 384$ →
384 cubic cm
2.
Second shape: $5 \times 5 \times 5 = 125$ →
125 cubic mm
3.
Cooler: $2 \times 4 \times 2 = 16$ →
16 cubic ft
4.
Aquarium: $5 \times 2 \times 3 = 30$ →
30 cubic ft
---
Let me know if you'd like a visual sketch description or help formatting this into a completed worksheet!
Parent Tip: Review the logic above to help your child master the concept of volume and surface area of rectangular prism worksheet.
