Let's solve the problem step by step.
Problem:
We are given a building made of two rectangular parts. We need to find the
volume of each part and then
add them together to get the total volume of the building.
The formula for the volume of a rectangular prism is:
>
Volume = Length × Width × Height
---
Step 1: Analyze Part 1 (Left Side of Building)
From the image:
-
Length = 8 m
-
Width = 4 m
-
Height = 10 m
So,
> Volume of Part 1 = 8 × 4 × 10 =
320 m³
---
Step 2: Analyze Part 2 (Right Side of Building)
From the image:
-
Length = 6 m
-
Width = 8 m
-
Height = 4 m
So,
> Volume of Part 2 = 6 × 8 × 4 =
192 m³
---
Step 3: Total Volume of the Building
Add both volumes:
> Total Volume = 320 + 192 =
512 m³
---
✔ Final Answers:
-
Volume of part 1:
$ 8 \times 4 \times 10 = 320 $ m³
-
Volume of part 2:
$ 6 \times 8 \times 4 = 192 $ m³
-
Volume of the building:
$ 320 + 192 = 512 $ m³
---
✔ Answer:
>
512 m³ is the total volume of the building.
Parent Tip: Review the logic above to help your child master the concept of additive volume 5th grade worksheet.
