Mensuration- 2 - Class 8 Maths Free MCQ Test with solutions

Test: Mensuration- 2 - Question 1

Find the volume of a cuboid whose length is 8 cm, breadth 6 cm and height 3.5 cm.

A.
215 cm³
B.
172 cm³
C.
150 cm³
D.
168 cm³

Detailed Solution: Question 1

- 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.

Test: Mensuration- 2 - Question 2

Find the volume of a cuboid whose length is 8 cm, width is 3 cm and height is 5 cm.

A.
135 cm³
B.
125 cm³
C.
120 cm³
D.
130 cm³

Detailed Solution: Question 2

Volume of cubiod =l×b×h
=8×3×5
=120cm3 .

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Test: Mensuration- 2 - Question 3

Find the perimeter of the a square with side 4cm.

A.
16 cm
B.
12 cm
C.
10 cm
D.
8 cm

Detailed Solution: Question 3

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.

Test: Mensuration- 2 - Question 4

The area of the circle is 2464 cm², and the ratio of the breadth of the rectangle to the radius of the circle is 6:7. If the circumference of the circle is equal to the perimeter of the rectangle, then what is the area of the rectangle?

A.
1456 cm²
B. 1536 cm²
C. 1254 cm²
D. 5678 cm²

Detailed Solution: Question 4

1. Area of the circle = πr² Given area = 2464 cm², so: 2464 = (22/7) * r² Solving for radius (r): r² = (2464 * 7) / 22 = 784 r = √784 = 28 cm 2. Circumference of the circle = 2 * π * r Circumference = 2 * (22/7) * 28 = 176 cm 3. Breadth of the rectangle (b) is in ratio 6:7 with radius (r): b = (6/7) * 28 = 24 cm 4. Perimeter of the rectangle equals circumference of the circle: Perimeter = 2 * (length + breadth) 176 = 2 * (l + 24) l + 24 = 88 → l = 64 cm 5. Area of the rectangle = length * breadth Area = 64 * 24 = 1536 cm² Thus, the area of the rectangle is 1536 cm².

Test: Mensuration- 2 - Question 5

Top surface of a raised platform is in the shape of regular octagon as shown in the figure. Find the area of the octagonal surface.

A.
11.9 cm³
B.
119 cm
C.
119 m²
D.
None of these

Detailed Solution: Question 5

Visually, the area of the octagonal surface will be the sum of the area of two trapezia and the area of rectangular region.

Area of octagon ABCDEFGH = Area of Trapezium ABCH + Area of rectangle HCDG + Area of trapezium EFGD

Side of the regular octagon = 5 cm

Area of trapezium ABCH = Area of trapezium EFGD

Area of trapezium ABCH = 1/2 × (AB + CH) × AI

= 1/2 × (5 m + 11 m) × 4 m

= 1/2 × 16 m × 4 m

= 32 m²

Area of trapezium ABCH = Area of trapezium EFGD = 32 m²

Area of rectangle HCDG = HC × CD = 11 m × 5 m = 55 m²

Area of ABCDEFGH = Area of trapezium ABCH + Area of rectangle HCDG + Area of trapezium EFGD

= 32 m²+ 55 m²+ 32 m²

= 119 m²

Thus the area of the octagonal surface is 119 m²

Test: Mensuration- 2 - Question 6

If the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is:

A.
20 cm²
B.
5 cm²
C.
10 cm²
D.
none of these

Detailed Solution: Question 6

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

= 1/2 *(10)*2 = 10 cm²

Test: Mensuration- 2 - Question 7

If the edge of a cube is 1 cm then which of the following is its total surface area?

A.
1 cm²
B.
4 cm²
C.
6 cm²
D.
none of these

Detailed Solution: Question 7

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 cm²

Test: Mensuration- 2 - Question 8

Find the area of a triangle whose base is 4 cm and altitude is 6 cm.

A.
10 cm²
B.
14 cm²
C.
16 cm²
D.
12 cm²

Detailed Solution: Question 8

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.

Test: Mensuration- 2 - Question 9

The area of a rhombus is 200 cm², and one of its diagonals is 20 cm. The length of the other diagonal is _____

A.
20 cm
B.
20 m
C.
22 cm
D.
22 m

Detailed Solution: Question 9

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 d₁x d₂

Substitute the given values:

200 cm² = 1/2 x 20x d₂

200 cm² = 10x d₂

20cm = d₂

Test: Mensuration- 2 - Question 10

The length of each side of a cube is 24 cm. The volume of the cube is equal to the volume of a cuboid. If the breadth and the height of the cuboid are 32 cm and 12 cm, respectively, then what will be the length of the cuboid?

A.
36
B.
27
C.
16
D.
20

Detailed Solution: Question 10

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
24³= 24 × 24 × 24 = 576 × 24 = 13824
32 × 12 = 384
So,
13824 = l × 384
⇒ l = 13824 ÷ 384
⇒ l = 36

Correct Option: A

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Mensuration- 2 - Free MCQ Practice Test with solutions, Class 8 Maths

MCQ Practice Test & Solutions: Test: Mensuration- 2 (10 Questions)

Find the volume of a cuboid whose length is 8 cm, breadth 6 cm and height 3.5 cm.

Find the volume of a cuboid whose length is 8 cm, width is 3 cm and height is 5 cm.

Find the perimeter of the a square with side 4cm.

The area of the circle is 2464 cm², and the ratio of the breadth of the rectangle to the radius of the circle is 6:7. If the circumference of the circle is equal to the perimeter of the rectangle, then what is the area of the rectangle?

Top surface of a raised platform is in the shape of regular octagon as shown in the figure. Find the area of the octagonal surface.

If the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is:

If the edge of a cube is 1 cm then which of the following is its total surface area?

Find the area of a triangle whose base is 4 cm and altitude is 6 cm.

The area of a rhombus is 200 cm², and one of its diagonals is 20 cm. The length of the other diagonal is _____

The length of each side of a cube is 24 cm. The volume of the cube is equal to the volume of a cuboid. If the breadth and the height of the cuboid are 32 cm and 12 cm, respectively, then what will be the length of the cuboid?

Mathematics (Maths) Class 8 (Old NCERT)

Mathematics (Maths) Class 8 (Old NCERT)

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