Right Rectangular Prisms & Pyramids Unit Test
Find the surface area of a rectangular pyramid with these measurements l = 15m m = 12m and h = 10r . Express your answer as a decimal rounded to the nearest hundredth (1 point)
m ^ 2
To find the surface area of a rectangular pyramid, we need to find the area of each face and then sum them up.
The formula for the surface area of a rectangular pyramid is given by:
Surface area = base area + lateral area
The base area can be found by multiplying the length (l) and width (m) of the rectangular base.
Base area = l * m
The lateral area can be found by multiplying the perimeter of the base (P) and the slant height (s). Since the base is a rectangle, the perimeter can be found by adding the length and width of the base twice.
Perimeter of base = 2(l + m)
The slant height can be found using the Pythagorean theorem. The formula is given by:
s = sqrt(l^2 + m^2 + h^2)
Substituting the given values into the formulas:
Base area = 15m * 12m = 180m^2
Perimeter of base = 2(15m + 12m) = 2(27m) = 54m
To find the slant height, we need the value of h. However, the value of h is given as 10r, which suggests that it depends on the value of r. Without knowing the value of r, we cannot calculate the slant height or the lateral area.
Therefore, we cannot determine the surface area of the rectangular pyramid without the value of r.