The volume of the pyramid is
cm³ ⇒ 2nd answer
Step-by-step explanation:
The volume of a pyramid =
base area × its height
The given is:
1. The base of the pyramid is an equilateral triangle of side length
cm
2. The area of the base is
cm²
3. In Δ ACB measure of angle ACB is 90° and m∠ CAB is 30°
To find the volume of the pyramid we need its height
∵ The height of the pyramid is BC
- Because it is perpendicular to the side AC which is one side of the
base of the pyramid
∵ m∠CAB = 30°
∵ AC =
cm
- By using tan(30) =
we can find BC
∴ tan(30) = 
- By using cross multiplication
∴ BC = 
∴ BC = 4 cm
∵ V =
area of the base × BC
∵ BC = 4 cm
∵ The area of the base is 
∴ V =
×
× 4
∴ V =
cm³
The volume of the pyramid is
cm³
Learn more:
You can learn more about volume of solids in brainly.com/question/12497249
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