Question

Which equation should be used to find the volume of the figure?

A rectangular pyramid with a base of 6 inches by 4 inches and a height of 8 inches.
V = one-third (6) (4) (8)
V = one-half (6) (4) (8)
V = one-third (6) (4) (10)
V = one-half (6) (4) (10)

Answer 1

The correct option is V = one-third (6) (4) (8).

Explanation:

The volume of a rectangular pyramid is:

`V = (1)/(3) lX b Xh`

Here,

V = volume

l = length

b = base

h = height

The information provided is:

l = 6 inches

b = 4 inches

h = 8 inches.

Compute the equation of the volume of a rectangular pyramid as follows:

`V = (1)/(3) lX b Xh`

`= (1)/(3)X6X4X8`

Thus, the correct option is V = one-third (6) (4) (8).

Answer 2

V = one-third (6)(4)(8)

Explanation:

A pyramid would be 1/3 the volume of the rectangle pyramid

The volume of the rectangle would be

Length x width x height

(6)(4)(8)

so the volume of the rectangle pyramid would be 1/3 of that.