Examples with solutions for Surface Area of a Cuboid: Using additional geometric shapes

Exercise #1

Given the unfolding of the cuboid. On one of the sides is placed a trapezoid whose area is 18 cm².

Express the surface area ofL cuboid using x,a

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Video Solution

Answer

6x+24a+8ax 6x+24a+8ax

Exercise #2

What is the surface area of the cuboid if the length of the highlighted arc is 3π 3\pi and the side on which it rests is a diameter on the same circle.

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Video Solution

Answer

36(1+10) 36(1+\sqrt{10)} cm².

Exercise #3

DADP represents an unfolded cuboid.

Calculate its surface area given that the area of the parallelogram GDEF is 8 cm².

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Video Solution

Answer

It is not possible to calculate.

Exercise #4

The area of the deltoid ADCB is 20a.

AD = DC

AB = BC

Calculate the surface area of the cuboid.

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Video Solution

Answer

16a+(2a+16)81a2 16a+(2a+16)\sqrt{81-a^2} cm².