PROBLEM SOLVING

1. Solving
Problems
involving
Volume of
Solid figures

2. Ana is packing gifts
into a rectangular
box.
The box is 10 cm
long, 6 cm wide, and
5 cm high.

3. • What solid figure is the box?
• What measurements are given?
• What do you think “how much space
inside” means?

4. Ana has a rectangular box.
The measurements are:
• Length = 10 cm
• Width = 6 cm
• Height = 5 cm
She wants to know how much space is inside the
box, which means finding the volume.
Step 1: Understand the Problem

5. To find the volume of a rectangular prism,
use the formula:
Volume = length × width × height
Step 2: Plan

6. Volume = 10 × 6 × 5
Volume = 300 cubic centimeters (cm³)
Step 3: Solve

7. Check by multiplying again:
10 × 6 = 60
60 × 5 = 300
The answer is correct
Step 4: check

8. A juice can has a
radius of 7 cm and a
height of 10 cm.
How much juice can
the can hold?

9. The can is a cylinder.
We need to find its volume.
Step 1: Understand the Problem

10. Use the formula:
V = πr²h (use π = 22/7)
Step 2: Plan

11. V = (22/7) × 7 × 7 × 10
V = 1540 cubic centimeters (cm³)
Step 3: Solve

12. (22/7) × 49 × 10 = 1540
Step 4: check

13. An ice cream cone
has a radius of 3 cm
and a height of 7 cm.
Find the volume of
the cone.

14. The figure is a cone.
We are finding its volume.
Step 1: Understand the Problem

15. Use the formula:
V = ⅓πr²h
Step 2: Plan

16. V = ⅓ × (22/7) × 3 × 3 × 7
V = 66 cubic centimeters (cm³)
Step 3: Solve

17. ⅓ × 198 = 66
Step 4: check

18. 1. What is the formula for the volume of a
cube?
A. V=l×w×h
B. V=s x s x s
C. V=1/2 bh×h
D. V=πr^2 h
Quiz no. 2

19. 2. Which unit is used for measuring
volume?
A. m
B. cm
C. m²
D. m³
Quiz no. 2

20. 3. A rectangular prism has a length of 5 cm,
width of 4 cm, and height of 3 cm. Its
volume is:
A. 12 cm³
B. 60 cm³
C. 15 cm³
D. 20 cm³
Quiz no. 2

21. 4. A cylinder has a radius of 3 cm and
height of 10 cm. Which formula would you
use to find its volume?
A. V=l×w×h
B. V=s^3
C. V=πr^2 h
D. V=1/3 lwh
Quiz no. 2

22. 5. A triangular prism has a base of 6 cm,
base height of 4 cm, and prism height of 10
cm. Find its volume.
A. 120 cm³
B. 60 cm³
C. 80 cm³
D. 30 cm³
Quiz no. 2

23. 6. A square pyramid has a base edge of 5
cm and height of 12 cm. Find its volume.
A. 100 cm³
B. 200 cm³
C. 300 cm³
D. 400 cm³
Quiz no. 2

24. 7. Bill has a rectangular prism tank 8 m × 5 m × 3 m.
Mica has a cylinder tank with radius 3 m and height 5
m. Who has a bigger tank? (Use π 3.14)
≈
A. Bill
B. Mica
C. Both equal
D. Cannot determine
Quiz no. 2

25. 8. A triangular prism has base 8 cm, base height 3 cm, and prism
height 12 cm. A cylinder has radius 4 cm and height 9 cm. Which
has greater volume? Use π 3.14.
≈
A. Triangular prism
B. Cylinder
C. Both equal
D. Cannot determine
Quiz no. 2

26. 9. A pyramid with base 6 m × 6 m and height 9 m is filled
with sand. A rectangular prism with same base area has
height 5 m. Which container holds more sand?
A. Pyramid
B. Rectangular prism
C. Both equal
D. Cannot determine
Quiz no. 2

27. 10. You need to design a water tank with a volume of
500 m³. Which combination of shape and dimensions
would meet the requirement?
A. Cube with side 8 m
B. Rectangular prism 10 m × 10 m × 5 m
C. Cylinder with radius 5 m and height 8 m
D. Pyramid with base 10 m × 10 m and height 15 m
Quiz no. 2