HIJK is a triangle based pyramid. The base HIJ is an equilateral triangle with side 10cm. The volume of the pyramid is 300cm^3.
Calculate the perpendicular height, h, of the pyramid.
1 answer:
Answer:
20.78 cm^3 to the nearest hundredth.
Step-by-step explanation:
Volume = 1/3 * a * h where a = area of triangular base and h = the height.
The area of the triangle
= 1/2 * base * height
Its height = √(10^2-5^2)
= √75.
So its area = 1/2 * 10 * √75
= 5√75
So for the pyramid we have:
300 = 1/3 * 5√75 * h
h = 300 / (1/3 * 5√75)
= 20.78 cm^3.
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