The base of a pyramid is a rectangle with a width of 4.6 cm and a length of 9 cm. What is the height, in centimeters, of the pyramid if its volume is 82.8 cubic cm?

A. 6 cm
B. 2 cm
C. 9 cm
D. 18 cm

Given:

Given that the base of a pyramid is a rectangle with a width of 4.6 cm and a length of 9 cm.

The volume of the pyramid is 82.8 cubic cm.

We need to determine the height of the pyramid.

Height of the pyramid:

The height of the pyramid can be determined using the formula,

Substituting the values, we get;

Multiplying both sides by 3, we get;

Dividing both sides by 41.4, we have;

Thus, the height of the rectangular pyramid is 6 cm.

Hence, Option A is the correct answer.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

it has changed from the width and the height.

step-by-step explanation: