Examples with solutions for Surface Area of a Cuboid: Using congruence and similarity

Exercise #1

Look at the cuboid in the figure below.

Express its surface area in terms of x.

xxx2x2x2xAAADDDBBBEEECCC30cm²

Video Solution

Answer

360+4x2 360+4x^2 cm².

Exercise #2

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 #3

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