Find the surface area of a rectangular pyramid with these measurements 7 - 15 m, w- 12 m, and h - 10 m. Express Your answer as a decimal rounded to the nearest hundredth??
To find the surface area of a rectangular pyramid, we need to find the area of the four triangular faces and the area of the rectangular base.
The area of a triangle is found using the formula A = (1/2)bh, where b is the base of the triangle and h is the height of the triangle.
For a rectangular pyramid, two of the triangular faces have the same dimensions. Let's calculate the area of one of these triangular faces:
A = (1/2)(7)(10) = 35 m^2
Now, let's calculate the area of the other two triangular faces:
A = (1/2)(15)(10) = 75 m^2
Now, let's calculate the area of the rectangular base:
A = (7)(15) = 105 m^2
Finally, we can find the surface area of the rectangular pyramid by adding up the areas of all the faces:
Surface area = 35 + 35 + 75 + 75 + 105 = 325 m^2
Thus, the surface area of the rectangular pyramid is 325 m^2.
Its 14.05
Apologies for the earlier incorrect calculation. Let's recalculate the surface area of the rectangular pyramid using the correct measurements.
The area of a triangle is found using the formula A = (1/2)bh, where b is the base of the triangle and h is the height of the triangle.
For a rectangular pyramid, two of the triangular faces have the same dimensions. Let's calculate the area of one of these triangular faces:
A = (1/2)(7)(10) = 35 m²
Now, let's calculate the area of the other two triangular faces:
A = (1/2)(15)(10) = 75 m²
Now, let's calculate the area of the rectangular base:
A = (7)(15) = 105 m²
Finally, we can find the surface area of the rectangular pyramid by adding up the areas of all the faces:
Surface area = 2(35) + 2(75) + 105 = 70 + 150 + 105 = 325 m²
Thus, the surface area of the rectangular pyramid is 325 m².