Examples with solutions for Surface Area of a Cuboid: Using ratios for calculation

Exercise #1

The ratio between the height and the width of the cuboid 3:5.

The length of the cuboid l and greater than 3 of the height.

Express using l the surface area of the cuboid.

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Video Solution

Answer

5827l2 \frac{58}{27}l^2

Exercise #2

The ratio of the length of the height in the cuboid to the length of the width 3:5.

Height of the cuboid whose ratio is 2:7 long.

Given that the area of the cuboid 542 cm². Find its dimensions.

Video Solution

Answer

Altura 4.96, Largo 8.26, Ancho 17.36

Exercise #3

A cuboid exists with a ratio between its dimensions equaling 1:2:4. The middle side has a length of 5 cm.

What is the surface area of the cuboid?

Video Solution

Answer

175 cm².

Exercise #4

A rectangular prism is shown below.

The ratio between b and a is 3:4, while the ratio between b and c is 7:9.

a = 6 cm

Calculate the surface area of the rectangular prism.

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Video Solution

Answer

175.8 cm²