Cube shape exercises for 5th grade

In this article, Mytour compiles and shares additional resources on cube shape exercises for 5th graders. Before tackling the exercises, students should revisit key concepts related to cube shapes such as volume calculation, area calculation, etc.

Exercises on calculating the area of cube shapes for 5th graders

 Note

Students can further refer to the formula for calculating the formula for calculating the area of a cube shape to better understand how to calculate this shape.

I. Understanding the Surface Area, Total Surface Area of 5th Grade Cube Shapes

1.1. Definition

Surface area of a cube: Sxq = 4.a.a

Total surface area of a cube: Stp = 6.a.a

II. Exercises on Cubes for Grade 5

1. Exercises on Cubes for Grade 5 Textbook

Exercise 1 Page 111 Math 5 Textbook: Calculate the surface area and total surface area of a cube with a side length of 1.5m.

Answer:
The surface area of the cube is:
        (1.5 x 1.5 ) x 4 = 9 (m2)
The total surface area of the cube is:
       (1.5 x 1.5 ) x 6 = 13.5 (m2).
Answer: 9m2; 13.5m2

Exercise 2 Page 111 Math 5 Textbook: A box without a lid is made of stiff cardboard in the shape of a cube with a side length of 2.5dm. Calculate the area of cardboard needed to make the box (excluding the edge to stick).

Answer:
The box has 5 faces which are 5 squares
The area of cardboard needed to make the box is:
(2.5 x 2.5) x 5 = 31.25 (dm2)
Answer: 31.25 dm2

Exercise 1 Page 122, 123 Math 5 Textbook: Fill in the blanks with appropriate measurements:

Answer:
Calculate roughly and then fill in the table. For example, in the last column:
The area of one face is:
600 : 6 = 100 (dm2)
Since 100 = 10 x 10, the side length of the cube is 10dm
The volume of the cube is:
10 x 10 x 10 = 1000(dm3) or 1m3.

Exercise 2 Page 122, 123 Math 5 Textbook: A cubic metal block has a side length of 0.75m. Each cubic meter of the metal block weighs 15kg. How much does the metal block weigh in kilograms?

Exercise 3 Page 122, 123 Math Textbook Grade 5: Given a rectangular box with a length of 8cm, width of 7cm, and height of 9cm. A cube has a side length equal to the average of the three dimensions of the rectangular box. Calculate:

a) Volume of the rectangular box
b) Volume of the cube

Answers:
a) The volume of the rectangular box is:
8 x 7 x 9 = 504 (cm3)
b) The length of the cube's side:
(8 + 7 + 9) : 3 = 8 (cm)
So, the volume of the cube is:
8 x 8 x 8 = 512 (cm3)

 Important Note

- Refer to additional Exercise Solutions Page 111 Math Textbook Grade 5 regarding the total surface area, around the cube

- Complete Exercise Solutions Page 122, 123 Math Textbook Grade 5 to reinforce understanding of the surface area of the cube

2. Exercises on Cubes Grade 5 Exercise Book

Exercise 1 Page 26 Workbook Mathematics Grade 5 Volume 2: Complete the blanks appropriately:

a. The lateral surface area of a cube with a side length of 2.5m is:

……………………………………………….....

b. The total surface area of a cube with a side length of 2.5m is:

……………………………………………….....

Solution:

a. The lateral surface area of a cube with a side length of 2.5m is:

(2.5 ⨯ 2.5) ⨯ 4 = 25 (m2)

b. The total surface area of a cube with a side length of 2.5m is:

(2.5 ⨯ 2.5) ⨯ 6 = 37.5 (m2)

3. Additional Exercises on Cubes for Grade 5

Question 1: Calculate the lateral surface area and total surface area of a cube with side lengths:

a) 11 cm

b) 6.5 dm

c) 2/5 m

Solution:

a) Lateral area = 484 cm2

Total surface area = 726 cm2

b) Lateral area = 169 dm2

Total surface area = 253.5 dm2

c) Lateral area = 16/25 m2

Total surface area = 24/25 m2

Question 2: A person constructs a cubic metal box (without a lid) with a side length of 10cm. Calculate the area of metal sheet required to make the box (excluding the welding edges).

Solution:

The required metal sheet area is:

10 x 10 x 5 = 500 (cm2)

Answer: 500 cm2

Question 3: Fill in the blank with the appropriate measurement:

Solution:

Question 4: A person arranges some bricks in the form of a rectangular prism to create a cubic brick block with a side length of 20 cm.

a) Calculate the lateral surface area and total surface area of the cubic brick block.

b) Calculate the dimensions of each brick.

Solution:

Lateral surface area of the brick block:

20 x 20 x 4 = 1,600 cm2

Total surface area of the brick block:

20 x 20 x 6 = 2400 cm2

Since the side length of the cube is 20 cm, the length, width, and height of each brick could be 2cm, 4cm; 5cm, 10cm, 20 cm. However, in reality, bricks typically have a length of 20cm or 50cm.

So, the length of the brick is 20 cm, and the width = height = 10 cm.

Answer: a) Lateral area = 1600 cm2 ; Total surface area = 2400 cm2

b) 20 cm, 10 cm, 10 cm

Question 5: Two shapes below are composed of cubic blocks with side lengths of 10 cm each. All outer surfaces of the two shapes are painted. Calculate the area needed to paint each shape.

Solution:

Answer: Shape A: 1400 cm2

Shape B: 1400 cm2

Question 6: A person constructs a box without a lid using stiff cardboard in the shape of a cubic box with a side length of 3.5 dm. Calculate the area of cardboard needed to make that box (excluding the edges for sticking).

Solution:

Since the box doesn't have a lid, the area of cardboard needed is the sum of the areas of 5 sides of the stiff cardboard.

The area of one side of the cube is:

3.5 x 3.5 = 12.25 (dm2)

The required cardboard area is:

12.25 x 5 = 61.25 (dm2)

Answer: 61.25 dm2

Question 7: Ha decorates the surfaces of a cubic gift box with side length of 2dm with colored paper. How much area in square decimeters is covered by the paper?

Solution:

The area of paper Ha has used is:

2 x 2 x 6 = 24 (dm2)

Answer: 24 dm2

Question 8: A glass tank for keeping fish is in the form of a cubic shape with a side length of 0.4m. Calculate the area of glass needed to make that fish tank (tank without a lid)

Solution:

The area of glass needed to make the fish tank without a lid is:

0.4 x 0.4 x 5 = 0.8 (m2)

Answer: 0.8 m2

 Note

Areas are written in square units (m2) (cm2, dm2, mm2 ...). Volume units are cubic meters (m3) (cm3, dm3, mm3 ...)

When you refer to and practice exercises in various formats about cubes in Grade 5, you quickly solve all exercises related to cubes, improving your average math score.