Examples with solutions for Surface Area of a Cuboid: Using Pythagoras' theorem

Exercise #1

ΔDEF∼ΔABC

DEF is the smaller than ABC and they have a ratio of 4:9.

BG = 2AB

Calculate the surface area of the orthohedron.

CCCBBBAAAGGGFFFDDDEEE52

Video Solution

Answer

359.1 cm²

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.

333777

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.

222111GGGFFFDDDEEEHHHAAACCCBBB88

Video Solution

Answer

It is not possible to calculate.

Exercise #4

ΔDEF∼ΔABC

Calculate X given that the surface of the cuboid is 182+7 18\sqrt{2}+7 cm².

2x2x2x7x7x7xxxx3x3x3xAAACCCBBBAAAEEEFFFGGGFFFEEEDDD

Video Solution

Answer

12 \frac{1}{2} cm

Exercise #5

The area of the deltoid ADCB is 20a.

AD = DC

AB = BC

Calculate the surface area of the cuboid.

aaa999121212AAAFFFDDDGGGCCCBBBEEE

Video Solution

Answer

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