In the Volume of Pyramids section, a right square pyramid has a slant height of 5cm and a base edge length of 6cm. Select all that apply. *
B = 6cm
B= 36cm squared
The height and the slant height form a right triangle.
h = 4cm
h= 7cm
h = 3cm
V = 1/3Bh
V = Bh
V = 144 cm cubed
V = 48 cm cubed

B= 36cm squared

h = 4 cm

V = 48 cm cubed

Step-by-step explanation:

A square pyramid has a square base. The edge length are all equal.

Given that:

base length (b) = 6 cm and slant height (l) = 5 cm.

The height and the slant height form a right triangle i.e the slant height is the hypotenuse, the base of the triangle is the distance from the center of the square to the edge which is half of the base length (b/2). The height of the pyramid (h) is given as:

l² = h² + (b/2)²

h² = l² - (b/2)²

h² = 5² - (6/2)²

h² = 25 - 9

h = √16 = 4 cm

The area of the base = b² = 6² = 36 cm²

The volume of the pyramid (V) = 1/3 × b² × h = 1/3 × 6² × 4 = 48 cm³

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