Question

Find the volume, the lateral surface area and the total surface area of the cuboid whose dimensions are :
length $=24m$, breadth $=25cm$ and height $=6m$.

Answer 1

It is given that length $=24cm$, breadth $25cm=0.25m$ and height $=6m$

We know that

Volume of cuboid $=1\times b\times h$

By substituting the value we get

Volume of cuboid $=24\times 0.25\times 6$

By multiplication

Volume of cuboid $=36m^3$

We know that

Lateral surface of a cuboid $=2(1+b)\times h$

By substituting the values

Lateral surface area of a cuboid $=2(24+0.25)\times 6$

On further calculation

Lateral surface area of a cuboid $=2\times 24.25\times 6$

By multiplication

Lateral surface area of a cuboid $=291m^2$

We know that

Total surface area of cuboid $=2(Ib+bh+Ih)$

By substituting the value

Total surface area of cuboid $=2(24\times 0.25+0.25\times 6+24\times 6)$

On further calculation

Total surface area of cuboid $=2(6+1.5+144)$

So we get

Total surface area of cuboid $=2\times 151.5$

By multiplication

Total surface area of cuboid $=303c{m}^2$