Question

A cube of edge 1 cm is cut from a corner of a solid cube of edge 5 cm. What is the total surface area of the solid remained?

Answer 1

Step-by-step explanation:

If a cube of edge 1 cm is cut from the corner the shape would not be Cube.

You will get the answer by Subtraction of TSA of corner piece and entire cube.

TSA of whole cube = 6 × l^2

= 6 × 5^2

= 6 ×25

= 150 sq.cm

TSA of corner piece(cuboid) = 2(lb + bh + hl)

Given = Lenght = 5cm

Breadth = 1cm

Height = 1cm

= 2(5×1 + 1×1 + 1×5)

= 2(5 + 1 + 5)

= 2(11)

= 22 sq.cm

Hence,

=150 - 22

=128 sq.cm

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