A pyramid of volume 120cm3 has a rectangular base which measures 5cm by 6cm. Calculate the height of the pyramid
Question 1 Report
A pyramid of volume 120cm3 has a rectangular base which measures 5cm by 6cm. Calculate the height of the pyramid
Answer Details
The volume of a pyramid is given by the formula:
V = (1/3)Ah
where V is the volume, A is the area of the base, and h is the height of the pyramid.
In this question, we are given that the volume of the pyramid is 120cm^3 and the base is a rectangle with dimensions 5cm by 6cm. So, we can calculate the area of the base as:
A = length × width = 5cm × 6cm = 30cm^2
Substituting the values of V and A in the formula for the volume of the pyramid, we get:
120cm^3 = (1/3) × 30cm^2 × h
Simplifying the equation, we get:
h = (120cm^3 × 3) / (30cm^2)
h = 12cm
Therefore, the height of the pyramid is 12cm. So, the correct option is "(3) 12cm".
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