Question

A right pyramid having square of diagonal 40, 2 m as its base and height of 8 m will have capacity of:
A 4689.87 m2
B. 4456.82 m
CO 4266.67 m2
D. 4166.55 m2​

Answer 1

The capacity is 53.33 L

Given:

The pyramid has square of diagonal = 40 m

Base = 2 m

Height = 8 m

Step-by-step explanation:

The right pyramid has apex directly above its center. Thus, the base is a prefect square.

(Diagonal)² = 40 m

The area of the pyramid is given by the formula:

A = 1/2 × (Diagonal)² = 20 m

The capacity of the pyramid is amount of substance a pyramid can hold in it whereas the volume is space occupied by the pyramid.

Capacity and volume are not same and since, the information in this question is not proper. Let's find the volume of the pyramid.

The volume of the pyramid is given by the formula:

V = 1/3 × Base area × Height

V = 1/3 × 20 × 8

∴ V = 53.33 m³ = 53.33 L