Let’s solve each problem one by one, step by step.
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Problem 1: What is the perimeter of a square with a side of 3 cm?
A square has 4 equal sides.
Perimeter = add all 4 sides → 3 + 3 + 3 + 3 = 12 cm
Or use formula: Perimeter = 4 × side → 4 × 3 = 12 cm
✔ Correct answer:
d) 12 cm
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Problem 2: What is the area of a square with a side of 4 cm?
Area of a square = side × side → 4 × 4 = 16 cm²
✔ Correct answer:
a) 16 cm²
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Problem 3: What is the perimeter of this shape?
The shape looks like an “L” made from rectangles. We need to add up ALL the outer edges.
Given dimensions:
- Bottom length = 8 cm
- Left height = 3 cm
- Right small vertical part = 2 cm
- Top right horizontal part = 3 cm
We can find missing parts:
Top left horizontal part = total bottom (8 cm) minus top right (3 cm) = 5 cm
Middle vertical drop (between top and bottom on the right) = left height (3 cm) minus right height (2 cm) = 1 cm
Now list all outer sides going around the shape:
Start at bottom left corner and go clockwise:
1. Bottom: 8 cm
2. Right side (lower): 2 cm
3. Top right horizontal: 3 cm
4. Middle vertical down: 1 cm (this is the step inside) — wait, no! Actually, we must follow the OUTSIDE only.
Wait — better way: trace the entire outer edge without double-counting.
Actually, let’s label all outer segments clearly:
From diagram:
- Left side: 3 cm (full height)
- Bottom: 8 cm (full width)
- Right side: 2 cm (only lower part)
- Then moving left along top of right section: 3 cm
- Then up vertically for the step: that’s 3 - 2 = 1 cm
- Then left along top of left section: 8 - 3 = 5 cm
So now add them all:
Left: 3 cm
Bottom: 8 cm
Right (lower): 2 cm
Top-right horizontal: 3 cm
Step-up vertical: 1 cm
Top-left horizontal: 5 cm
Add: 3 + 8 + 2 + 3 + 1 + 5 = 22 cm
✔ Correct answer:
b) 22 cm
*(Note: Another trick — you can imagine “pushing out” the indented part to make a full rectangle. The perimeter stays the same as a rectangle 8 cm wide and 3 cm tall → 2×(8+3)=22 cm. Same result!)*
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Problem 4: A cube has a volume of 64 cm³. What is the length of an edge of the cube?
Volume of a cube = edge × edge × edge = edge³
So we need to find what number cubed equals 64.
Try:
4 × 4 × 4 = 16 × 4 = 64 → YES!
So edge = 4 cm
✔ Correct answer:
d) 4 cm
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Final Answer:
1. d
2. a
3. b
4. d
Parent Tip: Review the logic above to help your child master the concept of volume and perimeter worksheet.
