Examples with solutions for Surface Area of a Cuboid: Calculation using percentages

Exercise #1

Look at the orthohedron shown in the figure below.

Side b is 20% longer than side a.

Side c is 20% longer than side b.

Calculate a, c, and b given that the surface area of the orthohedron is 436 cm².

aaabbbccc

Video Solution

Answer

a=7.06, b=8.47, c=10.17

Exercise #2

Given an cuboid with side length 7 cm, the second side is 10% smaller than the first, and the third is 10% larger than the second, what is its surface area?

Video Solution

Answer

272.538 cm².

Exercise #3

What is the surface area of the quadrangular cuboid in the diagram? aaaxxx

Given a constitutes 80% of x

Video Solution

Answer

4.48x2 4.48x^2

Exercise #4

Given the unfolding of the quadrangular cuboid where the area of the square face is 70% smaller than the area of the rectangular face.

Find the surface of the cuboid.

40cm²

Video Solution

Answer

613.33 cm².

Exercise #5

What is the surface area of the given shape given the lengths of the sides of the small cuboid are 40% of the lengths of the corresponding sides in the large cuboid?

888999111111

Video Solution

Answer

569.2 cm².