Mr. Osborne needs two students to help him with a demonstration. He decides to draw two names out of a bag to make things fair.
2 answers:
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Answer:
Step-by-step explanation:
1. You must apply the following formula for calculate the total surface area the regular pyramid:
Where p is the perimeter of the base, l is the slant height and B is the area of the base.
2. The perimeter is, where s is the side length:
3. The faces are isosceles traingles. So, to find the slant height you can divide one base into two equal right triangles and calculate the slant height with Pythagorean Theorem:
4. The base is equal to any face, then both have equal areas. As previously you divide one base into two equal righ triangle to find the slant height, you can calcualte the area of one right triangle and multply it by 2 to calculate B:
Finally substitute values:
Answer:
Volume = cubic inches
Step-by-step explanation:
A cube is the 3D version of a square. Since one side length is x inches, all the other side lengths are same, x inches each.
We know,
Volume = area of base * height
THe base is a square and the area is side * side. We know each side is x, so we have:
Area of Square = Area of Base = x * x =
Now, we know height is also same side length, x, thus the volume becomes:
Volume = area of base * height
Volume =
We add the exponents when we have same base multiplied, so the expression for volume becomes:
Volume =