Question

A solid oblique pyramid has a square base with an edge length of 2 cm. Angle bac measures 45. What is the volume of the pyramid? 2.4 cm3 3.6 cm3 4.8 cm3 7.2 cm3

Answer 1

Answer:

Answer B

Step-by-step explanation:

The base of the pyramid has a square base with an edge length of 2 cm, thus a right triangle is formed by half of the length of the base, the height of the pyramid and the slant height.

Therefore, using the trigonometry, we have:

$tan(45) = \frac{h}{2\sqrt{2} }$

⇒ h = $2\sqrt{2}$

⇒ h = 2.83 cm

Let AB be the area of the base and h the height.

Now, the volume of the pyramid is given by:

V = $\frac{1}{3} * AB * h$

V = 1/3 x 2 x 2 x 2.83

V = 3.77 cm^3

Since, the closest question is 3.6, we can consider that answer B is the correct one.