Create a sample drawing of a scale of a three-dimensional, real-world object. Then, determine the ratio of the surface areas. Upload your drawing and use complete sentences to explain how you determined the ratio.

Multiply the Surface Area of the Scale Drawing by the Square of the Scale Factor.

Step-by-step explanation:

Given the sample scale drawing of a crate whose original dimensions are 150 cm by 200 cm by 250 cm.

The Scale Used is 1cm : 50cm

In any solid, the ratio of their areas is the square of the ratio of their sides.

Since it is a scale drawing, we take into cognizance the scale factor.

The ratio of the surface area is given as:

To determine the ratio of their surface areas, follow these steps:

S : B = 1 : 2

Step-by-step explanation:

From the figure attached, the two cubes have length L

Starting from the small cube of L = 2 units

Since all sides are equal in a cube, the cube is of 2 units sides

The surface area of a cube = 6L^2

The surface area = 6(4) = 24 square units

The big cube of L = 4

That is double of the small cube unit sides.

The surface area = 6(16) = 96 square units

To determine the ratio of the surface areas of the two cubes, let the big cube = B and the small cube = S. Therefore

96/24 = B^2/ S^2

4 = (B/S)^2

B/S = 2

This means the ratio of B to S = 2:1

The ratio of the surface areas of the small cube to big cube can be expressed as

S:B = 1: 2

Please find the attached file for the figure

step-by-step explanation: