A caution warning sign is In the shape of a rectangular Pyramid. It is31in tall and has a base whose dimensions are 12in by 20in. What is the volume of the sign?
The volume of a rectangular pyramid is given by the formula V = (1/3)Bh, where B is the area of the base and h is the height of the pyramid.
To find the area of the base, we can use the formula for the area of a rectangle: A = lw, where l is the length and w is the width. In this case, the length is 20in and the width is 12in, so the area of the base is:
B = lw = 20in x 12in = 240 sq.in.
Now we can plug in the given values for B and h to find the volume:
V = (1/3)Bh = (1/3)(240 sq.in.)(31in) ≈ 2487.2 cubic inches
Therefore, the volume of the caution warning sign is approximately 2487.2 cubic inches.
To find the volume of the sign, we need to calculate the volume of the rectangular pyramid.
The formula for the volume of a rectangular pyramid is given by:
Volume = (1/3) * base area * height
First, let's find the base area of the rectangular pyramid. The base dimensions are given as 12in by 20in.
Base area = Length * Width
Base area = 12in * 20in
Base area = 240in²
Now, let's substitute the base area and the height into the volume formula:
Volume = (1/3) * base area * height
Volume = (1/3) * 240in² * 31in
Volume = (1/3) * 7,440in³
Volume = 2,480in³
Therefore, the volume of the caution warning sign is 2,480 cubic inches.