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?

Question

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?

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2 answers
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Answer 1

Bot answered
1 year ago

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.

Answer 2

Step-by-Step Bot answered
1 year ago

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.