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melamori03 [73]
3 years ago
12

The top of the Washington Monument is a triangular pyramid with a triangle base. Each triangular face is 58 feet tall and 34 fee

t wide and covered with white marble. About how many square feet of marble cover the faces of the pyramid?

Mathematics
2 answers:
MakcuM [25]3 years ago
4 0

So 4 triangular faces of the pyramid will have total area

<span>= 4 ×<span>12 </span>× base × height = 4 × <span>12 </span>× 34 × 58f<span>t2 </span>= 3944f<span>t2</span></span>

So <span>3944f<span>t2</span></span> of marble cover the faces of the pyramid.

Tomtit [17]3 years ago
4 0

Answer:

3,944ft^{2} of marble is needed.

Step-by-step explanation:

The picture below represents the top of the Washington Monument, with 4 triangles, one on the base and the other 3 forming the monument.

First of all whe have to find the area of one pyramid:

A=\frac{height*width}{2}

Replacing the values, we have:

A=\frac{58ft*34ft}{2}

A=986ft^{2}

As we have 4 triangles forming the top of the Monument, we have to multiply by 4 to find the quantity of marble to use:

Quantity of marble=Area of each triangle * quantity of triangles

Quantity of marble=986ft^{2}*4

Quantity of marble=3,944ft^{2}

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