3cm 4 cm 5cm 6cm

Whats the surface area of the firgure above?

1 answer

To find the surface area of the figure above, we first need to determine the shape of the figure. Since the given measurements are of different lengths, we can assume that the figure is a general quadrilateral shape.

To find the surface area of a quadrilateral, we need to divide it into two triangles. Using the given measurements, we can form two triangles with side lengths 3 cm, 4 cm, and 5 cm, and another two triangles with side lengths 3 cm, 5 cm, and 6 cm.

Next, we can use the formula for calculating the area of a triangle:

Area = 1/2 * base * height

For the first triangle with side lengths 3 cm, 4 cm, and 5 cm:
Base = 4 cm
Height = 3 cm
Area = 1/2 * 4 * 3 = 6 cm^2

For the second triangle with side lengths 3 cm, 5 cm, and 6 cm:
Base = 5 cm
Height = 3 cm
Area = 1/2 * 5 * 3 = 7.5 cm^2

The total surface area of the figure above is the sum of the areas of the two triangles:
Surface Area = 6 cm^2 + 7.5 cm^2 = 13.5 cm^2

Therefore, the surface area of the figure above is 13.5 cm^2.