Mensuration Test

Result

Mensuration Test - 2

Score
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Rank
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Weekly Quiz Competition

Question 1
1 / -0

If the total surface area of a cube is 54 m², then its lateral surface area is equal to

A
81 m²

B
24 m²

C
36 m²

D
108 m²

Solution

Total surface area of the cube = 6a²
54 m²= 6a²
54/6m² = a²
9 m²= a²
a = 3m [∵ Length cannot be negative.]
Now, lateral surface area of the cube = 4a²
= 4 (3)²m²
= 4 × 3 × 3 m²
= 36 m²
Question 2
1 / -0

If each edge of a cube is 'a', then its total surface area is

A
3a²

B
6a²

C
4a²

D
a²

Solution

Each edge of the cube = a
Total surface area of the cube = Sum of areas of all the faces of the cube
All the 6 faces of the cube are of the same dimension.
Area of top face = (side)² = a²
Area of bottom face = a²
Area of left face = a²
Area of right face = a²
Area of front face = a²
Area of back face = a²
∴ Total surface area = a² + a² + a² + a² + a² + a² = 6a²
Question 3
1 / -0

Find the lateral surface area of a cube of edge 10 cm.

A
400 cm²

B
80 cm²

C
600 cm²

D
100 cm²

Solution

Lateral surface area (LSA) of a cube = 4a² (where 'a' is the edge of the cube)
∴ LSA of the given cube = 4(10 cm)²
= 4(100) cm²
= 400 cm²