The oblique pyramid has a square base. An oblique pyramid has a square base with a base edge length of 2 centimeters. The vertical height of the pyramid is 3.75 centimeters. What is the volume of the pyramid? Options: 2.5 cm³ 3 cm³ 5 cm³ 6 cm³ 7.5 cm³
Answer (1)
To find the volume of an oblique pyramid with a square base, we can use the formula for the volume of a pyramid:
V = 3 1 × Base Area × Height
Step-by-step solution:
Calculate the Base Area:
The base of the pyramid is a square. Since the base edge length is given as 2 cm, the area of the square base is:
Base Area = side 2 = 2 2 = 4 cm 2
Insert the Height:
The height of the pyramid is given as 3.75 cm.
Calculate the Volume:
Substitute the base area and height into the volume formula:
V = 3 1 × 4 cm 2 × 3.75 cm
V = 3 1 × 15 cm 3
V = 5 cm 3
Thus, the volume of the pyramid is 5 cm 3 .
Chosen Multiple Choice Option: 5 cm³
