Question

three cubes of side 8 cm are joined together to form a cuboid find the total surface area of the cuboid

Answer 1

Answer:

Answer is 896 cm²

Step-by-step explanation:

I'm 100% sure

Answer 2

The surface area of the Cuboid is 896cm³.

Given:

Three sides of Cube = 8cm.

To Find:

The total surface of the Cuboid.

Solution:

Here, it is given that the edge of the 3 Cubes $=8cm$

so, the volume of one Cube $=a^{3}$ $=8^{3}$

                                              $=512cm^{3}$

now, the volume of the Cuboid $=3\times 512$

                                                   $=1536cm^{3}$

we have, the dimensions of the cuboid,

Length of the Cuboid $=8+8+8=24cm$

The breadth of the Cuboid $=8cm$

Height of the Cuboid $=8cm$

now,

The total surface area of the Cuboid $=2(Length\times breadth+breadth\times height+height\times length)$

$=2(24\times 8+8\times8+8\times 24)\\=2(192+64+192)\\=896cm^{3}$

Hence, the surface area of the Cuboid is 896cm³.