Question

A square-based pyramid has a base of area 16 cm² and a volume of 16 cm³. Calculate:

a. The perpendicular height of the pyramid.

b. The height and area of the base of a similar pyramid with a volume of 1024 cm³.
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Answer 1

Answer to (a) = 3cm
Answer to (b) = height is 12cm, area of base is 16 cm2

Formula for question a
Height = (3)V/a^2
We know v=16, we know a is 4
Height = (3) 16/16
Height = (3)

Formula for question b
If it’s similar, we will first find the ratio of V
We know one pyramid V=16, the other is V=1024
16 to 1024 = 64 cm3, take cube root of that for a ratio of 4
Multiply your known measurements x 4
So height is 3 x 4 = 12
Base edge is 4 x 4 =16
Volume is known at 1024cm3

Answer 2

3

Explanation:

V=⅓b²h

16=⅓*16*h

16=16h/3

h=3cm