Mensuration Test

Result

Mensuration Test - 12

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Weekly Quiz Competition

Question 1
1 / -0

The length of the side of a cubical box is 18 cm. How much cloth is required to cover the box?

A
896 cm²

B
972 cm²

C
1722 cm²

D
1944 cm²

Solution

The area of cloth required to cover the box is equal to its surface area.

Surface area of a cube = 6(side)²

∴ Surface area of the box = 6 × (18 cm)² = 1944 cm²

Thus, 1944 cm² of cloth is required to cover the box.

The correct answer is D.
Question 2
1 / -0

The perimeter and area of the base of a cuboid are respectively 42 cm and 108 cm². If the height of the cuboid is 6 cm, then what is the surface area of the cuboid?

A
468 cm²

B
668 cm²

C
720 cm²

D
920 cm²

Solution

We know that the surface area (S) of a cuboid is given by 2(lb + bh + lh), where l, b, and h are respectively the length, breadth, and height of the cuboid.

S = 2(lb + bh + lh)

⇒ S = 2lb + 2(l + b)h

= 2 × base area + perimeter of base × h

= (2 × 108 + 42 × 6) cm²

= (216 + 252) cm²

= 468 cm²

Thus, the surface area of the cuboid is 468 cm².

The correct answer is A.
Question 3
1 / -0

The base area of a cuboid is 928 cm² and its height is 26 cm. What is the volume of the cuboid?

A
19125 cm³

B
24128 cm³

C
26364 cm³

D
27425 cm³

Solution

We know that the volume of a cuboid is given by (length × breadth × height).

Now, area of base = length × breadth

∴ Volume of cuboid = base area × height

Base area of cuboid = 928 cm²

Height = 26 cm

Thus, the volume of the cuboid is (928 × 26 cm³) = 24128 cm³.

The correct answer is B.