Cutting the prism

A prism with a square base with a content of 1 cm2 and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the surface of the body formed from the cube after cutting the prism?

Correct result:

S =  52 cm2

Solution:

a=3 cm S1=1 cm2 c=3 cm  S=6 a22 S1=6 322 1=52 cm2a=3 \ \text{cm} \ \\ S_{1}=1 \ \text{cm}^2 \ \\ c=3 \ \text{cm} \ \\ \ \\ S=6 \cdot \ a^2 - 2 \cdot \ S_{1}=6 \cdot \ 3^2 - 2 \cdot \ 1=52 \ \text{cm}^2



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