When x > 0 and a is a postive integer, the expression (5x)^a/3 is equivalent to?
2 answers:
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The measure of one side of the base = 4 cm
Formula for the volume of a square pyramid
The area of the base of the pyramid = 16 cm²
Length of the side of the base of the pyramid = 4 cm
Solution:
Given data:
Volume of a square pyramid = 48 cm³
Height of the square pyramid = 9 cm
Formula for the volume of a square pyramid:
, where a is one side of the base and h is height.
Substitute volume and height in the formula,
Divide by 3 on both sides of the equation,
– – – – (1)
Taking square root on both sides of the equation, we get
a = 4
One side of the base = 4 cm
Area of the base = side × side
It is already found in equation (1),
Area of the base = 16 cm²
Length of the side of the base of the pyramid = 4 cm.