The storage box for a flag is in the shape of a triangular prism. What is the surface area of the box?
1 answer:
*see attachment for the diagram of the triangular prism box
Answer:
528.8 in.²
Step-by-step explanation:
Surface area of triangular prism = 2(BA) + P*H
Area of triangular base (BA) = ½*b*h
b = 24.5 in.
h = 12 in.
BA = ½*24.5*12 = 147 in.²
Perimeter of triangular base = 24.5 + 17.1 + 17.1 = 58.7 in.
Height of prism = 4 in.
Plug in the values into the surface area formula:
Surface area of prism = 2(147) + 58.7*4
= 294 + 234.8
= 528.8 in.²
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Answer: 381.51 cubic inches
Step-by-step explanation:
1. Use the formula: V = πh, or in this case, 3.14(
)(6)
2. Simplify to 3.14(20.25)(6)
3. Simply multiply all three numbers using a calculator, or one by one if that's the preferred option.
4. You get: 381.51 cubic inches.