It looks like you've uploaded an image of a rectangular prism (a box) with labeled dimensions:
- Length = 8 inches
- Width = 5 inches
- Height = 3 inches
Since you mentioned a "task" but didn't specify what you'd like to calculate, I'll assume the most common problems associated with such a figure:
volume and
surface area. Let me solve both and explain.
---
🔹 1. Volume of the Rectangular Prism
The volume $ V $ is calculated using the formula:
$$
V = \text{length} \times \text{width} \times \text{height}
$$
Substitute the values:
$$
V = 8 \times 5 \times 3 = 120 \text{ cubic inches}
$$
✔ Volume = 120 in³
---
🔹 2. Surface Area of the Rectangular Prism
The surface area $ SA $ is the sum of the areas of all six faces. The formula is:
$$
SA = 2(lw + lh + wh)
$$
Where:
- $ l = 8 $
- $ w = 5 $
- $ h = 3 $
Now compute:
$$
lw = 8 \times 5 = 40 \\
lh = 8 \times 3 = 24 \\
wh = 5 \times 3 = 15
$$
$$
SA = 2(40 + 24 + 15) = 2(79) = 158 \text{ square inches}
$$
✔ Surface Area = 158 in²
---
✔ Final Answers:
-
Volume: 120 in³
-
Surface Area: 158 in²
If your task was something else (e.g., finding diagonal, perimeter of a face, or something related to real-world application), please let me know and I’ll adjust accordingly!
Parent Tip: Review the logic above to help your child master the concept of volume of rectangular prism word problems worksheet.
