find the area of a rectangular prism with these meaurements l=15 w=12 h=10 express your answer as a decimal rounded to the nearest hundreth.
To find the area of a rectangular prism, we need to multiply the length (l), width (w), and height (h) of the prism.
Given:
Length (l) = 15
Width (w) = 12
Height (h) = 10
Area = l * w * h
Area = 15 * 12 * 10
Area = 1800
Therefore, the area of the rectangular prism is 1800 square units.
thats wrong
Apologies for the mistake. To find the surface area of a rectangular prism, we need to calculate the area of each face and then add them all together.
Given:
Length (l) = 15
Width (w) = 12
Height (h) = 10
The rectangular prism has 6 faces:
- Top and bottom faces have an area of l * w = 15 * 12 = 180 square units
- Front and back faces have an area of w * h = 12 * 10 = 120 square units
- Left and right faces have an area of l * h = 15 * 10 = 150 square units
To find the total surface area, we add up all the areas of the faces:
180 + 180 + 120 + 120 + 150 + 150 = 900 square units
Therefore, the area of the rectangular prism is 900 square units.
find the surface are of a square pyramid where the base edge is 1.5 cm and the slant height is 4 cm?
To find the surface area of a square pyramid, we need to calculate the area of the base and the area of the four triangular faces.
Given:
Base edge (s) = 1.5 cm
Slant height (l) = 4 cm
Area of the base (B) = s^2
B = (1.5 cm)^2
B = 2.25 square cm
Area of each triangular face (T) = 0.5 * s * l
T = 0.5 * 1.5 cm * 4 cm
T = 3 square cm
There are four triangular faces with the same area, so the total area of the triangular faces is 4 * 3 = 12 square cm.
To find the total surface area (A), we add the area of the base to the total area of the triangular faces:
A = B + 12
A = 2.25 square cm + 12 square cm
A = 14.25 square cm
Therefore, the surface area of the square pyramid is 14.25 square cm.