The oblique pyramid has a square base with an edge length of 5 cm. The height of the pyramid is 7 cm. What is the volume of the pyramid?
11 cm3
43 cm3
58 cm3
87 cm3

Respuesta :

The answer is 58 cm3

The volume of the pyramid with square base is:
V = s² * h / 3
s - the edge length, s = 5 cm
h - height, h = 7 cm

V = 5² * 7 / 3
V = 25 * 7 / 3
V = 58 cm³

The volume of the oblique squared pyramid with the given height and base length is 58cm³.

Hence, Option C) 58cm³ is the correct answer.

Square Pyramid

A square pyramid is a 3-dimensional geometric shape with a squared base and four triangular bases that are joined at a vertex.

Volune of a squared pyramid is expressed as;

V = (1/3) × a² × h

Where a is length of the sides of the square and h is the height of the four triangles that are joined at a vertex.

Given the data in the question;

  • Length of the side of the square a = 5cm
  • Height of the pyramid h = 7cm
  • Volune of the squared pyramid V = ?

We substitute the given values into the above expression.

V = (1/3) × a² × h

V = (1/3) × (5cm)² × 7cm

V = (1/3) × 25cm² × 7cm

V = 175cm³ / 3

V = 58.33cm³

V = 58cm³

Option C) 58cm³ is the correct answer.

The volume of the oblique squared pyramid with the given height and base length is 58cm³.

Learn  more about volume of pyramid here: https://brainly.com/question/17615619