Question

This right rectangular pyramid has a volume of 252 cm3. Its height is 12 cm and one edge of its base is 7 cm. What is the value of B?

Answer 1

Answer:

don't give wrong answers to anyone please

Answer 2

the value of B is approximately 58.09 cm²

We know that the formula for the volume of a pyramid is given by:

V = (1/3)×B×h

where V is the volume, B is the area of the base, and h is the height of the pyramid.

In this problem, we are given the volume V = 252 cm³, the height h = 12 cm, and one edge of the base a = 7 cm. We need to find the value of B.

Since the base of the pyramid is a right rectangle, we can use the Pythagorean theorem to find the other edge of the base b:

a² + b² = c², where c is the slant height of the pyramid.

c² = h² + ((a/2)²) = 144 + 12.25 = 156.25

c = √(156.25) = 12.5 cm

Now, we can find the area of the base B using the formula:

B = (1/2)×a×b

B = (1/2)×7×√(c² - (a/2)²)

B = (1/2)×7×√(156.25 - 12.25)

B = 21×√(14)

Therefore, the value of B is approximately 58.09 cm².

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