Test: Mensuration- 2 - Class 8 MCQ

- Volume Formula: Volume = Length × Breadth × Height
- Given Dimensions:
- Length = 8 cm
- Breadth = 6 cm
- Height = 3.5 cm
- Substituting the given values:
- 8 × 6 × 3.5
- 48 × 3.5 = 168
- Result: The volume of the cuboid is 168 cm³.

The perimeter of a square is calculated by multiplying the length of one side by four. Given that each side is 4 cm, the calculation is as follows:

• Perimeter = 4 × 4 cm = 16 cm

Thus, the correct answer is A, 16 cm.

Area of the circle=πr²

2464 = 22/7 * r²

Radius of the circle=28 cm

Circumference of the circle=2 * π* r =2 * 22/7 * 28 

= 176 cm

Breadth of the rectangle=6/7 * 28=24 cm

Perimeter of the rectangle=2 * (l + b)

176 = 2 * (l + 24)

Length of the rectangle = 64 cm

Area of the rectangle = l * b = 24 * 64 = 1536 cm² 

We will divide the octagon in 3 parts which are two trpeziums ABCH and DEFG and one rectangle CDGH and find the area for all of them separately and add them to get the area of octagon

use formula:1/2(sum of of parallel sides)(distance between them)

= 1/2 *(10)*2 = 10 cm²

The total surface of a cube is calculated using the formula: Total Surface Area = 6 x (side length)²

Edge of the cube = 1 cm

substitute the value into the formula: Total Surface Area = 6 x 1 ² = 6 cm ²

We know that area of triangle is equals to 1/2 base × altitude.
Here, base = 4 cm and altitude = 6 cm.
So, area = 1/2 × 4 × 6= 24 /2= 12 cm².

Let the length of one diagonal be d₁ = 20 cm, and the length of the other diagonal be d₂

The formula for the area of a rhombus is:
Area = 1/2 x d₁ x d₂

Substitute the given values:

200 cm² = 1/2 x 20 x d₂

200 cm² = 10 x d₂

20cm = d₂ 

Given:  
The length of each side of a cube is 24 cm.  
The breadth and the height of the cuboid are 32 cm and 12 cm, respectively.  

Concept used:  
The volume of the cube is equal to the volume of a cuboid.  
Volume of cube = a³  
Volume of cuboid = lbh  

Calculation:  
The volume of the cube is equal to the volume of a cuboid.  
⇒ 24³ = l × 32 × 12  
⇒ l = 3 × 12  
⇒ l = 36  

∴ Option 1 is the correct answer.