Question

the diagram shows a 5 cm x 6 cm x 7cm cuboid calculate the length of the diagonal AB give your answer correct to 1 decimal place

Answer 1

Answer:

Hey Mate!!

Diagonal of Cuboid :

$\sqrt{l^{2} +b^{2} +h^{2} }\\ => \sqrt{5^{2} +6^{2} +7^{2} }\\=> \sqrt{25+36+49}\\ => \sqrt{110}\\ => {\bold{10.5 \: cm}}$

Answer 2

Answer:

The diagonal of the cuboid is 10.48 cm.

Step-by-step explanation:

The length , breadth and height of the cuboid is 5cm, 6cm and 7 cm

The formula of diagonal of cuboid is $\sqrt{L^{2} +B^{2}+H^{2} }$

Now, put the all values.

Diagonal of cuboid

$=\sqrt{5^{2} +6^{2} +7^{2} }\\=\sqrt{25+36+49} \\=\sqrt{110}$

$=10.48cm$

So, the diagonal of the cuboid is $10.48cm.$