Question

Determine the missing value, x, of the rectangular pyramid below if the volume is 280 cubic centimeters.

Answer 1

Determine the missing value, x, of the rectangular pyramid below if the volume is 280 cubic centimeters.

Answer 2

impatient much?

x=42

Answer 3

its 10 lol

Answer 4

[AI-generated answer — Explain Bot]

To determine the missing value, x, of the rectangular pyramid, we need to use the formula for the volume of a rectangular pyramid, which is:

Volume = (1/3) * Base Area * Height

In this case, the volume is given as 280 cubic centimeters. We can set up the equation as follows:

280 = (1/3) * Base Area * Height

Now, let's find the base area and height of the rectangular pyramid.

The base area of a rectangular pyramid is found by multiplying the base length by the base width. However, the base dimensions are not given in the question, so we will assume that both the base length and base width are equal to x.

So, the base area would be x * x = x^2.

Now, let's substitute x^2 for the base area in the volume equation:

280 = (1/3) * x^2 * Height

To isolate the variable x, we need to get rid of the fractions, so we multiply both sides of the equation by 3:

3 * 280 = x^2 * Height

840 = x^2 * Height

Now, we need to make another assumption to solve for x. We will assume that the height, Height, is equal to x as well.

So, we can rewrite the equation as:

840 = x^2 * x

Simplifying further, we have:

840 = x^3

To solve for x, we can take the cube root of both sides:

cube root(840) = x

Using a calculator or computer program, we can find that the cube root of 840 is approximately 9.799.

Therefore, the missing value, x, of the rectangular pyramid is approximately 9.799 centimeters.