Study the diagram below of a cube and a square pyramid. The length of each side of the base is 12cm and the total height of the shape is 28cm. Calculate the surface area of the visible sides of the square pyramid and state whether the following answer is True or False.

Question

A diagram below is made from a cube and a square pyramid. The length of each side of the base is 12 cm and the total height of the shape is 28 cm.

The surface area of the visible sides of the square pyramid is 410,11cm2
Question 5 Select one:
True
False

Answer 1

False

To calculate the surface area of the visible sides of the square pyramid, we first need to find the slant height of the pyramid using the Pythagorean theorem:

Slant height = sqrt((12/2)^2 + 28^2)
Slant height = sqrt(36 + 784)
Slant height = sqrt(820)
Slant height ≈ 28.64 cm

Now, we can calculate the surface area of the visible sides of the square pyramid:

Surface area = 4(1/2 * 12 * 28) + (1/2 * 12 * 28)
Surface area = 4(168) + 168
Surface area = 672 + 168
Surface area = 840 cm^2

Therefore, the correct surface area of the visible sides of the square pyramid is 840 cm^2, not 410.11 cm^2.