Question

The length, breadth and height of a cuboid are 5 cm, 4 cm and 3 cm respectively. Find the length of longest diagonal of cuboid.​

Answer 1

Step-by-step explanation:

given,

length=3cm

breadth=4cm

height=5cm

TOTAL SURFACE AREA OF CUBOID

=2(lb+bh+hl)

=2(3×4 +4×5 +5×3)

=2(12+20+15)

=2(22+15)

=2(37)

TSA =74

VOLUME OF CUBOID=L×B×H

=3×4×5

=12×5

=60

Answer 2

The length of longest diagonal of cuboid is 5√2 cm if  length, breadth and height of a cuboid are 5 cm, 4 cm and 3 cm respectively.

Given:

The length, breadth and height of a cuboid are 5 cm, 4 cm and 3 cm respectively

To Find:

The length of longest diagonal of cuboid.​

Solution:

Length of longest diagonal of a cuboid is given by:

$\text{longest diagonal}=\sqrt{(\text{length})^2+(\text{breadth})^2+(\text{height})^2}$

Step 1:

Substitute length = 5 , breadth = 4 and height = 3 in the formula:

$\text{longest diagonal}=\sqrt{(5)^2+(4)^2+(3)^2}$

Step 2:

Calculate length of the longest diagonal

$\text{longest diagonal}=\sqrt{25+16+9}$

$\text{longest diagonal}=\sqrt{50}$

$\text{longest diagonal}=5\sqrt{2}$

The length of longest diagonal of cuboid is 5√2 cm