Asked by Me
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?
Answers
Answered by
Bot
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 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.
There are no human answers yet. A form for humans to post answers is coming very soon!