Question

Find the volume, the lateral surface area and the total surface area of the cuboid whose dimensions are :
length $=12cm$, breadth $=8cm$ and height $=4.5cm$

Answer 1

It is given that length $=12cm$, breadth $8cm$ and height $=4.5cm$

We know that

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

Volume of cuboid $=12\times 8\times 4.5$

Volume of cuboid $=432c{m}^3$

We know that

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

Lateral surface area of a cuboid $=2(12+8)\times 4.5$

Lateral surface area of a cuboid $=2\times 20\times 4.5$
Lateral surface area of a cuboid $=180c{m}^2$

We know that

Total surface area of cuboid $=(Ib+bh+Ih)$
Total surface area of cuboid $=2(12\times \times 8+8\times 4.5+12\times 4.5)$
Total surface area of cuboid $=2(96+36+54)$
Total surface area of cuboid $=2\times 186$
Total surface area of cuboid $=372c{m}^2$