Free. Exclusive. Just for you.
Four unique services that make learning easier, faster, and smarter - only on our website.

Math worksheet with questions on volume, area, and perimeter.

A math worksheet with four questions about volume, area, and perimeter, including a diagram of a box made of 1 cm cubes.

A math worksheet with four questions about volume, area, and perimeter, including a diagram of a box made of 1 cm cubes.

JPG 1000×1413 114.3 KB Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #864990
Show Answer Key & Explanations Step-by-step solution for: Area, Perimeter and volume grade 6 worksheet
Let's solve each problem step by step.

---

Problem 1: What is the volume of this box made up of 1 cm cubes?



#### Solution:
The box is composed of small cubes, each with a side length of 1 cm. To find the volume, we need to count the number of these 1 cm cubes in the box.

- The box has 3 layers (height).
- Each layer has 4 rows.
- Each row has 2 cubes.

So, the total number of cubes is:
\[
\text{Total cubes} = \text{Layers} \times \text{Rows per layer} \times \text{Cubes per row}
\]
\[
\text{Total cubes} = 3 \times 4 \times 2 = 24
\]

Since each cube has a volume of \(1 \, \text{cm}^3\), the total volume of the box is:
\[
\text{Volume} = 24 \, \text{cm}^3
\]

#### Answer:
\[
\boxed{a}
\]

---

Problem 2: What is the volume of a crate measuring 1 m by 2 m by 1.5 m?



#### Solution:
The volume of a rectangular prism (crate) is given by the formula:
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]

Here:
- Length = 1 m
- Width = 2 m
- Height = 1.5 m

Substitute these values into the formula:
\[
\text{Volume} = 1 \, \text{m} \times 2 \, \text{m} \times 1.5 \, \text{m} = 3 \, \text{m}^3
\]

#### Answer:
\[
\boxed{b}
\]

---

Problem 3: The area of a square is 36 cm². What is the length of its base?



#### Solution:
The area of a square is given by the formula:
\[
\text{Area} = \text{Side}^2
\]

Here, the area is \(36 \, \text{cm}^2\). Let the side length be \(s\). Then:
\[
s^2 = 36
\]

To find \(s\), take the square root of both sides:
\[
s = \sqrt{36} = 6 \, \text{cm}
\]

#### Answer:
\[
\boxed{a}
\]

---

Problem 4: A rectangular field has length 80 m. What is its width if the perimeter is 240 m?



#### Solution:
The perimeter of a rectangle is given by the formula:
\[
\text{Perimeter} = 2 \times (\text{Length} + \text{Width})
\]

Here:
- Perimeter = 240 m
- Length = 80 m
- Width = \(w\) (unknown)

Substitute the known values into the formula:
\[
240 = 2 \times (80 + w)
\]

Divide both sides by 2:
\[
120 = 80 + w
\]

Solve for \(w\):
\[
w = 120 - 80 = 40 \, \text{m}
\]

#### Answer:
\[
\boxed{b}
\]

---

Final Answers:


1. \(\boxed{a}\)
2. \(\boxed{b}\)
3. \(\boxed{a}\)
4. \(\boxed{b}\)
Parent Tip: Review the logic above to help your child master the concept of area and perimeter worksheet 6th grade.
Print Download

How to use

Click Print to open a print-ready version directly in your browser, or use Download to save the file to your device. The ⭐ Answer button generates an AI answer key instantly - useful for teachers who need a quick reference. Need a different version? Our AI Worksheet Generator lets you create a custom worksheet on any topic in seconds.

(view all area and perimeter worksheet 6th grade)

Area and perimeter worksheets (rectangles and squares)
Grade 6 Area and Perimeter Worksheets | Free Math Worksheets
50+ Perimeter of a Rectangle worksheets for 6th Grade on Quizizz ...
Grade 6 Area Worksheets | Find the Area of Compound Shapes
Area and Perimeter
Area and Perimeter of Polygons Worksheets - Math Monks
Perimeter of Different Shapes Worksheet
Area and Perimeter of Rectangle
Area, Perimeter and volume grade 6 worksheet | Live Worksheets
Perimeter, Area & Volume Worksheets | Scholastic