Find the missing dimensions. Rectangular pyramid. L=8m, w=4.6m, v=88m3

to find height:

volume = 1/3 * [Base Area] * height
so... v = 1/3 * [L * w] * height
88 = 1/3 * [8 *4.6] * height
88 = 12.266667 * height
88/12.266667 = height
7.1739 m = height

bru

To find the missing dimensions of the rectangular pyramid, you can use the formula to calculate the volume of a rectangular pyramid, which is:

V = (L * W * H) / 3

Given that the length (L) is 8m, the width (W) is 4.6m, and the volume (V) is 88m^3, we can substitute these values into the formula to solve for the missing dimension, which is the height (H).

88 = (8 * 4.6 * H) / 3

Multiplying both sides of the equation by 3:

3 * 88 = 8 * 4.6 * H

264 = 36.8 * H

To isolate H, divide both sides of the equation by 36.8:

H = 264 / 36.8

H ≈ 7.174 m

Therefore, the missing dimension (height, H) of the rectangular pyramid is approximately 7.174 meters.

To find the missing dimensions of a rectangular pyramid, we can use the volume formula of a pyramid, which is given by:

V = (1/3) * L * W * H

Where:
- V is the volume of the pyramid
- L is the length of the base
- W is the width of the base
- H is the height of the pyramid

In this case, we know the values of L, W, and V, and we need to find the missing dimension, which is H.

Let's rearrange the formula to solve for H:

V = (1/3) * L * W * H

Multiplying both sides by 3 to eliminate the fraction:

3V = L * W * H

Dividing both sides by L * W:

(3V) / (L * W) = H

Now we can substitute the given values:

L = 8m, W = 4.6m, V = 88m^3

Hence, the missing height of the rectangular pyramid can be found using the formula:

H = (3 * 88m^3) / (8m * 4.6m)

Calculating the value:

H = 9.652m

Therefore, the missing height of the rectangular pyramid is 9.652 meters.