Question

three cubes each of volume 125 CM cube are joined end to end to form a cuboid. Find the total surface area of cuboid

Answer 1

vol. =s^3
vol.=5cm
If the cube are joined then only length will increase and height , breadth will remain same
so L=15
B=5
H=5
TSA=2(LB+BH+HL)
TSA=350CM^2

Answer 2

Given:

The volume of a cube=125 cm cube

To find:

The total surface area of the cuboid that is formed by joining three cubes

Solution:

The total surface area of the cuboid formed by joining three cubes is 350 $cm^{2}$.

We can find the total surface area by following the given steps-

We know that the volume of a cube is 125 cubic cm.

Let us assume that the edge of the cube is A.

So, the volume of the cube=$A^{3}$

125=$A^{3}$

A=5 cm

Now, three such cubes are placed end to end to form a cuboid.

The width and height of the cuboid will be equal to the edge of the cube.

The width of the cuboid=A=5 cm

The height of the cuboid=A=5 cm

The length of the cuboid=sum of edges of the three cubes

=A+A+A=3A=3×5=15 cm

We know that the total surface area of a cuboid=2(length×width+width×height+height×length)

On putting the values,

=2(15×5+5×5+5×15)

=2(75+25+75)

=2×175

=350 $cm^{2}$

Therefore, the total surface area of the cuboid formed by joining three cubes is 350 $cm^{2}$.