A rectangular pyramid has a length of 7 cm and a width of 9 cm. Its volume is 231 cubic centimeters. Use the formula for the volume of a pyramid to calculate the height of this pyramid. Show all your work.(2 points)
1 is the book
2.They are square pyramids. They have 5 faces. The 4 lateral faces are triangles, and the 5th face is a square base. Each pyramid has 5 vertices and 8 edges. The 4 lateral faces meet at a single point, or apex.
3.1,368.06
4.54
5.1,451.5
5. 520
7 480
8 14.25
9 9.3
10 32.4
11 6
12 60
13 75
14 10,933.33
15 8,333.3
I took the test and it shows right answers so here
dec 11th 2023 100%
The formula for the volume of a rectangular pyramid is V = (1/3) * base area * height.
The base area of the pyramid is the length times the width, so the base area is 7 cm * 9 cm = 63 square cm.
Plugging this into the volume formula, we have 231 = (1/3) * 63 * height.
To solve for the height, we can multiply both sides of the equation by 3, then divide by 63:
231 * 3 = 63 * height.
693 = 63 * height.
Dividing both sides by 63, we find:
height = 693 / 63 = 11 cm.
Therefore, the height of the pyramid is 11 cm.