Question

Three cubes are kept adjacently, edge to edge. If the edge of each cube is 7 cm, find total surface area of the resulting cuboid.

Answer 1

hope this answer will help you

Answer 2

Given:

Edge of cube=7cm

To find:

The total surface area of the resulting cuboid

Solution:

The total surface area of the resulting cuboid is 686 $cm^{2}$.

We can find the area by following the given terms-

We know that on joining the three cubes, we will get a cuboid.

The length of the resulting cuboid will be 3 times the side of the cube and the breadth and height will remain the same as that of the cube.

The dimensions of the cuboid will be as follows-

The length of the cuboid=3 times the side of the cube

=3×7=21 cm

The breadth of the cuboid=side of the cube=7cm

The height of the cuboid=side of the cube=7cm

The total surface area of the cuboid=2×(length×breadth+breadth×height+height×length)

=2×(21×7+7×7+7×21)

=2×(147+49+147)

=2×(343)

=686 $cm^{2}$

Therefore, the total surface area of the resulting cuboid is 686 $cm^{2}$