Cuboid | MCQs

Explanation

A cuboid has 8 vertices, where three edges meet at each corner.

It also has 6 faces and 12 edges, forming a 3D rectangular box shape.

Explanation

A cuboid is a 3D solid shape bounded by six rectangular faces.

Opposite faces of a cuboid are equal and each angle is a right angle.

Explanation

Given:

Capacity = 50000 litres = 50 cubic meters (since 1 cubic meter = 1000 litres)

Length (l) = 2.5 m

Depth (h) = 10 m

Let's use the formula for the volume of a cuboid:

Volume = length × breadth × height

50 = 2.5 × breadth × 10

Now, solve for breadth (b):

50 = 25b

b = 50/25

b = 2 m

Explanation

To find the cost of painting, we need to calculate the surface area of the cuboid:

Surface Area = 2(lw + lh + wh)

= 2(43.5 + 46 + 3.5*6)

= 2(14 + 24 + 21)

= 2 * 59

= 118 square meters

Now, cost of painting:

Cost = Surface Area * Rate

= 118 * 43.78

= 5166.04

Explanation

The surface area of a cuboid is given by:

2(lb + bh + hl)

Where l = 12cm, b = 8cm, h = 6cm

Surface area = 2(12_8 + 8_6 + 6*12)

= 2(96 + 48 + 72)

= 2(216)

= 432cm²